View source for Vladimir Mazya

{{short description|Swedish Mathematician}}
{{Use dmy dates|date=May 2017}}
{{Infobox scientist
| name              = Vladimir Maz'ya
| image             = <!--(filename only)-->
| image_size        = 250px
| alt               = 
| caption           = 
| birth_date        = {{Birth date and age|df=yes|1937|12|31}}
| birth_place       = [[Leningrad]], [[Russian SFSR]]
| death_date        = <!-- {{Death date and age|df=yes|YYYY|MM|DD|YYYY|MM|DD}} (death date then birth date) -->
| death_place       = 
| residence         = 
| citizenship       = [[Sweden]]
| nationality       = 
| fields            = 
| workplaces        = {{plainlist|
*[[Leningrad University]]
*[[Linköping University]]
*[[Ohio State University]]
*[[University of Liverpool]]}}
| alma_mater        = [[Leningrad University]]
| thesis_title      = 
| thesis_url        = 
| thesis_year       = 
| doctoral_advisor  = 
| academic_advisors = 
| doctoral_students = 
| notable_students  = 
| known_for         = {{plainlist|
*[[Approximate approximations]]
*[[Asymptotic analysis]]
*[[Partial differential equation]]s
*[[Sobolev spaces]]
*[[Wind wave|Theory of ship waves]]}}
| influences        = 
| influenced        = 
| awards            = {{plainlist|
*[[Humboldt Prize]] (1999)
*[[Verdaguer Prize]] (2003)
*[[Royal Society of Sciences in Uppsala#Celsius Gold Medal|Celsius Gold Medal]] (2004)
*[[Senior Whitehead Prize]] (2009)}}
| signature         = <!--(filename only)-->
| signature_alt     = 
| website           = [http://users.mai.liu.se/vlama82/ Vladimir Maz'ya academic web site]
| footnotes         = 
| spouse            = [[Tatyana O. Shaposhnikova]]
}}

'''Vladimir Gilelevich Maz'ya''' ({{langx|ru|Владимир Гилелевич Мазья}}; born 31 December 1937)<ref name="FoSh">See {{harv|Fomin|Shilov|1970|p=824}}.</ref><ref name="frstyr">See {{harv|Agranovich|Burago|Khavin|Kondrat'ev|2003|p=239}}, {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=189}}, {{harv|Bonnet|Sändig|Wendland|1999|p=3}} and {{harv|Mitrea|Mitrea|2008|p=vii}}.</ref><ref>See also {{harv|Anolik|Burago|Dem'yanovich|Kislyakov|2008|p=287}}.</ref> (the [[family name]] is sometimes [[Transliteration|transliterated]] as '''Mazya''', '''Maz'ja''' or '''Mazja''') is a [[Russia]]n-born [[Swedish people|Swedish]] [[mathematician]], hailed as "one of the most distinguished analysts of our time"<ref>{{harv|Mitrea|Mitrea|2008|p=viii}}. <!-- See also the review {{MR|3288312}} of the book {{harv|Maz'ya|1914}} where he is called "a famous and distinguished mathematician". --></ref> and as "an outstanding mathematician of worldwide reputation",<ref>{{harv|Havin|2014|p=v}}.<!-- See also {{harv|Agranovich|Burago|Khavin|Kondrat'ev|2003|p=239}}, where he is called an "''outstanding mathematician''". --></ref> who strongly influenced the development of [[mathematical analysis]] and the [[partial differential equation|theory of partial differential equations]].<ref>{{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=189}}, {{harv|Laptev|2010|p=v}}, {{harv|Chillingworth|2010}}.</ref><ref>{{harv|Bonnet|Sändig|Wendland|1999|p=3}}, {{harv|Mitrea|Mitrea|2008|p=vii}}, {{harv|Anolik|Burago|Dem'yanovich|Kislyakov|2008|p=287}}, {{harv|Movchan|Safarov|Sobolev|Vassiliev|2015|p=273}}.</ref>

Mazya's early achievements include: his work on [[Sobolev space]]s, in particular the discovery of the equivalence between [[Sobolev inequality|Sobolev]] and [[isoperimetric inequality|isoperimetric/isocapacitary inequalities]] (1960),<ref>{{harv|Maz'ya|1960}}.</ref> his counterexamples related to [[Hilbert's nineteenth problem|Hilbert's 19th]] and [[Hilbert's twentieth problem|Hilbert's 20th problem]] (1968),<ref>{{harv|Maz'ya|1968}}, {{harv|Giaquinta|1983|p=59}}, {{harv|Giusti|1994|loc=p. 7, footnote 7, and p. 353}} ([[#{{harvid|Giusti|2003}}|p. 6, footnote 7, and p. 343]] of the English translation).</ref> his solution, together with [[Yuri Burago]], of a problem in [[harmonic function|harmonic potential theory]] (1967) posed by {{harvtxt|Riesz|Szőkefalvi-Nagy|1955|loc=chapter V, § 91}}, his extension of the [[Wiener regularity test]] to {{mvar|p}}–Laplacian and the proof of its sufficiency for the boundary regularity.<ref>The necessity of the condition was an open problem until 1993, when it was proved by {{harvtxt|Kilpeläinen|Malý|1994}}.</ref> Maz'ya solved [[Vladimir Arnol'd]]'s problem for the [[oblique derivative boundary value problem]] (1970) and [[Fritz John]]'s problem on the oscillations of a fluid in the presence of an immersed body (1977).

In recent years, he proved a [[Wiener's criterion|Wiener's type criterion]] for higher order elliptic equations, together with [[Mikhail Shubin (mathematician)|Mikhail Shubin]] solved a problem in the spectral theory of the [[Schrödinger operator]] formulated by [[Israel Gelfand]] in 1953,<ref>{{harv|Maz'ya|Shubin|2005}}. For a brief description of this and related researches, see {{harv|Mitrea|Mitrea|2008|p=xiv}}.</ref> found [[necessary and sufficient condition]]s for the validity of [[maximum principle]]s for elliptic and [[parabolic differential equation|parabolic systems of PDEs]] and introduced the so–called [[approximate approximations]]. He also contributed to the development of the [[Capacity of a set|theory of capacities]], [[nonlinear potential theory]], the [[Asymptotic analysis|asymptotic]] and [[Partial differential equation|qualitative theory]] of arbitrary order elliptic equations, the [[Ill-posed problem|theory of ill-posed problems]], the theory of [[boundary value problem]]s in [[Domain (mathematical analysis)|domains]] with piecewise smooth [[Boundary (topology)|boundary]].

==Biography==

===Life and academic career===
Vladimir Maz'ya was born on 31 December 1937<ref name="frstyr" /> in a Jewish family.<ref name="Eidp1">See {{harv|Eidus|Khvoles|Kresin|Merzbach|1997|p=1}}.</ref> His father died in December 1941 at the [[World War II]] [[Front (military)|front]],<ref name="frstyr" /><ref name="Eidp1" /><ref name="Gohp2">See {{harv|Gohberg|1999|p=2}}.</ref> and all four grandparents died during the [[siege of Leningrad]].<ref name="frstyr" /><ref name="Eidp1" /> His mother, a state accountant,<ref>See {{harv|Agranovich|Burago|Khavin|Kondrat'ev|2003|p=239}} and {{harv|Mitrea|Mitrea|2008|p=vii}}.</ref> chose to not remarry and dedicated her life to him:<ref name="Eidp1" /> they lived on her meager salary in a 9 [[Square metre|square meters]] room in a big communal apartment, shared with other four families.<ref name="Eidp1" /><ref>See {{harv|Agranovich|Burago|Khavin|Kondrat'ev|2003|p=239}}, {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=189}} and {{harv|Mitrea|Mitrea|2008|p=viii}}.</ref> As a [[secondary school]] student, he repeatedly won the city's [[Mathematical olympiad#Russian Federation|mathematics]] and [[Russian Federation physics olympiads|physics olympiads]]<ref>See {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=189}}, {{harv|Bonnet|Sändig|Wendland|1999|p=3}} and {{harv|Mitrea|Mitrea|2008|p=viii}}.</ref> and graduated with a gold medal.<ref>See {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=189}}, {{harv|Eidus|Khvoles|Kresin|Merzbach|1997|p=2}} and {{harv|Mitrea|Mitrea|2008|p=viii}}.</ref>

In 1955, at the age of 18, Maz'ya entered the Mathematics and Mechanics Department of Leningrad University.<ref>See {{harv|Agranovich|Burago|Khavin|Kondrat'ev|2003|p=239}}, {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=189}}, {{harvtxt|Bonnet|Sändig|Wendland|1999|p=3}} and {{harv|Eidus|Khvoles|Kresin|Merzbach|1997|p=2}}.</ref> Taking part to the traditional mathematical olympiad of the faculty, he solved the problems for both first year and second year students and, since he did not make this a secret, the other participants did not submit their solutions causing the invalidation of the contest by the jury which therefore did not award the prize.<ref name="Gohp2" /> However, he attracted the attention of [[Solomon Mikhlin]] who invited him at his home, thus starting their lifelong friendship:<ref name="Gohp2" /> and this friendship had a great influence on him, helping him develop his mathematical style more than anyone else. According to {{harvtxt|Gohberg|1999|p=2}},<ref>Also reported by {{harvtxt|Mitrea|Mitrea|2008|p=viii}}.</ref> in the years to come, "''Maz'ya was never a formal student of Mikhlin, but Mikhlin was more than a teacher for him. Maz'ya had found the topics of his dissertations by himself, while Mikhlin taught him mathematical ethics and rules of writing, referring and reviewing''".<ref>See also short accounts of their friendship in {{harv|Agranovich|Burago|Khavin|Kondrat'ev|2003|p=239}}, {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=189}}, {{harv|Anolik|Burago|Dem'yanovich|Kislyakov|2008|p=287}}, {{harv|Bonnet|Sändig|Wendland|1999|p=3}} and {{harv|Eidus|Khvoles|Kresin|Merzbach|1997|p=2}}.</ref>

More details on the life of Vladimir Maz'ya, from his birth to the year 1968, can be found in his autobiography {{harv|Maz'ya|2014}}.

Maz'ya graduated from Leningrad University in 1960.<ref name="FoSh" /><ref name="knauk">See {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=189}}, {{harv|Anolik|Burago|Dem'yanovich|Kislyakov|2008|p=287}} and {{harv|Mitrea|Mitrea|2008|p=viii}}.</ref> The same year he gave two talks at [[Smirnov's seminar]]:<ref>According to {{harvtxt|Agranovich|Burago|Vainberg|Vishik|2008|p=189}}: {{harvtxt|Mitrea|Mitrea|2008|p=viii}} are less precise, simply referring of "talks" he gave, while {{harvtxt|Anolik|Burago|Dem'yanovich|Kislyakov|2008|p=287}} cite only a single talk.</ref> their contents were published as a short report in the [[Proceedings of the USSR Academy of Sciences]]<ref name="UMNp189">See {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=189}}.</ref><ref>See the books {{harv|Maz'ja|1985}} and {{harv|Maz'ya|2011}} for a complete analysis of his results.</ref> and later evolved in his "[[kandidat nauk]]" thesis, "''Classes of sets and embedding theorems for function spaces''",<ref name="classes">{{harv|Maz'ya|1960}}. See {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=189}}, {{harv|Anolik|Burago|Dem'yanovich|Kislyakov|2008|p=287}}, {{harv|Eidus|Khvoles|Kresin|Merzbach|1997|p=2}} and {{harv|Mitrea|Mitrea|2008|p=viii}}: {{harvtxt|Agranovich|Burago|Vainberg|Vishik|2008|p=189}} refer that "''In their reviews, the opponents and the external reviewer noted that the level of the work far exceeded the requirements of the Higher Certification Commission for Ph.D. theses, and his work was recognized as outstanding at the thesis defence in the Academic Council of Moscow State University''".</ref> which was defended in 1962.<ref>See {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=189}}, {{harv|Anolik|Burago|Dem'yanovich|Kislyakov|2008|p=287}}, {{harv|Eidus|Khvoles|Kresin|Merzbach|1997|p=2}} and {{harvtxt|Mitrea|Mitrea|2008|p=viii}}.</ref> In 1965 he earned the [[Doktor nauk]] degree, again from Leningrad University, defending the dissertation "''Dirichlet and Neumann problems in Domains with irregular boundaries''", when he was only 27.<ref>According to {{harv|Agranovich|Burago|Khavin|Kondrat'ev|2003|p=239}}, {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=190}}, {{harv|Anolik|Burago|Dem'yanovich|Kislyakov|2008|p=287}}, {{harvtxt|Bonnet|Sändig|Wendland|1999|p=3}},{{harv|Eidus|Khvoles|Kresin|Merzbach|1997|p=2}} and {{harvtxt|Mitrea|Mitrea|2008|p=viii}}: {{harvtxt|Fomin|Shilov|1970|p=824}} give a different year, stating that he earned the "Doctor nauk" degree in 1967.</ref> Neither the first nor his second thesis were written under the guidance of an advisor: Vladimir Maz'ya never had a formal scientific adviser, choosing the research problems he worked to by himself.<ref>See {{harv|Agranovich|Burago|Khavin|Kondrat'ev|2003|p=239}}, {{harv|Agranovich|Burago|Vainberg|Vishik|2008|pp=189–190}}, {{harv|Anolik|Burago|Dem'yanovich|Kislyakov|2008|p=287}}, {{harv|Gohberg|1999|p=2}} and {{harvtxt|Mitrea|Mitrea|2008|p=viii}}.</ref>

From 1960 up to 1986, he worked as a "research fellow"<ref>{{langx|ru|научный сотрудник}}: see {{harv|Agranovich|Burago|Khavin|Kondrat'ev|2003|p=239}}, {{harv|Anolik|Burago|Dem'yanovich|Kislyakov|2008|p=287}}, {{harv|Eidus|Khvoles|Kresin|Merzbach|1997|p=2}} and {{harvtxt|Mitrea|Mitrea|2008|p=viii}}.</ref> at the Research Institute of Mathematics and Mechanics of Leningrad University (RIMM), being promoted from junior to [[Research fellow#Russian Federation|senior research fellow]] in 1965.<ref>Precisely, he become "''старший научный сотрудник''", abbreviated as "''ст. науч. сотр.''", according to {{harvtxt|Fomin|Shilov|1970|p=824}}, the only source giving a precise date for this career advancement.</ref> From 1968 to 1978 he taught at the {{ill|State Marine Technical University|ru|Санкт-Петербургский государственный морской технический университет|lt=Leningrad Shipbuilding Institute}}, where he was awarded the title of "[[professor]]" in 1976.<ref>See {{harv|Agranovich|Burago|Khavin|Kondrat'ev|2003|p=239}}, {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=190}}, {{harv|Anolik|Burago|Dem'yanovich|Kislyakov|2008|p=287}}, {{harv|Eidus|Khvoles|Kresin|Merzbach|1997|p=2}} and {{harvtxt|Mitrea|Mitrea|2008|p=viii}}: a different version is reported by {{harvtxt|Bonnet|Sändig|Wendland|1999|p=3}}, whom state that he become professor of Applied Mathematics in 1971 but do not give any other detail about his teaching activity.</ref> From 1986 to 1990 he worked to the Leningrad Section of the {{ill|Blagonravov Research Institute of Mechanical Engineering|ru|Институт машиноведения имени А. А. Благонравова РАН}} of the [[USSR Academy of Sciences]],<ref>See {{harv|Agranovich|Burago|Khavin|Kondrat'ev|2003|p=239}}, {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=190}}, {{harv|Anolik|Burago|Dem'yanovich|Kislyakov|2008|p=287}} and {{harvtxt|Mitrea|Mitrea|2008|pp=viii–ix}}.</ref> where he created and directed the Laboratory of Mathematical Models in Mechanics and the Consulting Center in Mathematics for Engineers.<ref>According to {{harv|Agranovich|Burago|Khavin|Kondrat'ev|2003|p=239}}: {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=190}} states precisely that he was the [[chairman]] of the laboratory for several years, while {{harv|Anolik|Burago|Dem'yanovich|Kislyakov|2008|p=287}} does simply state that he was its head.</ref>

In 1978 he married [[Tatyana Shaposhnikova]], a former doctoral student of Solomon Mikhlin, and they have a son, Michael:<ref>The only source briefly mentioning the composition of his household is {{harv|Bonnet|Sändig|Wendland|1999|p=3}}.</ref> In 1990, they left the [[USSR|URSS]] for Sweden, where Prof. Maz'ya obtained the Swedish [[citizenship]] and started to work at Linköping University.<ref name="workpl">See {{harv|Agranovich|Burago|Khavin|Kondrat'ev|2003|p=239}}, {{harv|Anolik|Burago|Dem'yanovich|Kislyakov|2008|p=287}}, {{harv|Bonnet|Sändig|Wendland|1999|p=3}}, {{harv|Eidus|Khvoles|Kresin|Merzbach|1997|p=2}} and {{harv|Mitrea|Mitrea|2008|pp=viii–ix}}.</ref>

Currently, he is honorary Senior Fellow of Liverpool University and [[Professor Emeritus]] at Linköping University: he is also member of the editorial board of several mathematical journals.<ref>See {{harv|Agranovich|Burago|Khavin|Kondrat'ev|2003|p=239}}, {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=190}} and {{harv|Anolik|Burago|Dem'yanovich|Kislyakov|2008|p=287}}.</ref>

===Honors===
In 1962 Maz'ya was awarded the [[Saint Petersburg Mathematical Society#"Young mathematician" prize|"Young Mathematician" prize]] by the [[Leningrad Mathematical Society]], for his results on [[Sobolev spaces]]:<ref name="classes" /> he was the first winner of the prize.<ref name="UMNp189" /> In 1990 he was awarded an honorary [[DSc|doctorate]] from [[Rostock University]].<ref name="pre2003">See {{harv|Agranovich|Burago|Khavin|Kondrat'ev|2003|p=239}}, {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=190}}, {{harv|Anolik|Burago|Dem'yanovich|Kislyakov|2008|p=287}} and {{harv|Mitrea|Mitrea|2008|pp=ix}}.</ref> In 1999, Maz'ya received the [[Humboldt Prize]].<ref name="pre2003" /><ref>See {{harv|O'Connor|Robertson|2009}}.</ref> He was elected member of the [[Royal Society of Edinburgh]] in 2000,<ref>See {{harv|Agranovich|Burago|Khavin|Kondrat'ev|2003|p=239}}, {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=190}}, {{harv|Anolik|Burago|Dem'yanovich|Kislyakov|2008|p=287}} and {{harv|Mitrea|Mitrea|2008|pp=ix}}, and also the [[#CITEREFRoyal Society of Edinburgh2008|list of RSE members]].</ref> and of the [[Swedish Academy of Science]] in 2002.<ref name="pre2003" /> In March 2003, he, jointly with [[Tatyana Shaposhnikova]], was awarded the [[Verdaguer Prize]] by the [[French Academy of Sciences]].<ref>For his work on the biography of [[Jacques Hadamard]]. See the short announcements of the {{Harvtxt|French Academy of Sciences|2009}}.</ref> On 31 August 2004 he was awarded the [[Royal Society of Sciences in Uppsala#Celsius Gold Medal|Celsius Gold Medal]], the [[Royal Society of Sciences in Uppsala]]'s top award, "''for his outstanding research on partial differential equations and hydrodynamics''".<ref>{{harvtxt|Sundelöf|2004|p=33}} precisely states:-"''Celsiusmedaljen i guld, Societetens främsta utmärkelse, har tilldelats professor Vladimir Maz'ya, Linköping, för hans framstående forskning rörande partiella differentialkvationer och hydrodynamik''". See also the brief announce {{harv|AMS|2005|p=549}}.</ref> He was awarded the [[Senior Whitehead Prize]] by the [[London Mathematical Society]] on 20 November 2009.<ref>{{harv|Chillingworth|2010}}, [[#CITEREFLondon Mathematical Society2010|(LMS 2010]], p. 334): there is also the brief announcement in {{harv|AMS|2009|p=1120}}.</ref> In 2012 he was elected fellow of the [[American Mathematical Society]].<ref>See the [[#{{harvid|AMS|2012}}|list of AMS fellows]].</ref> On 30 October 2013 he was elected foreign member of the [[Georgian National Academy of Sciences]].<ref>See his [[#CITEREFGeorgian National Academy of Sciences2013|membership diploma]], available from the Georgian National Academy web site.</ref>

Starting from 1993, several conferences have been held to honor him: the first one, held in that year at the [[University of Kyoto]], was a conference on Sobolev spaces.<ref name="confs">See {{harv|Agranovich|Burago|Khavin|Kondrat'ev|2003|p=239}}, {{harv|Agranovich|Burago|Vainberg|Vishik|2008|p=190}} and {{harv|Mitrea|Mitrea|2008|p=ix}}.</ref> On the occasion of his 60th birthday in 1998, two international conferences were held in his honor: the one at the [[University of Rostock]] was on Sobolev spaces,<ref name="confs" /><ref>The conference proceedings are published in two books, [[#{{harvid|Rossmann|Takáč|Wildenhain|1999a}}|The Maz'ya Anniversary Collection: Volume 1 (1999)]] and [[#{{harvid|Rossmann|Takáč|Wildenhain|1999b}}|The Maz'ya Anniversary Collection: Volume 2 (1999)]].</ref> while the other, at the [[École Polytechnique]] in Paris,<ref name="confs" /><ref>See also {{harvtxt|Bonnet|Sändig|Wendland|1999|p=3}}. The whole conference proceedings are published in the book ([[#{{harvid|Bonnet|Sändig|Wendland|1999}}|Mathematical Aspects of Boundary Element Methods 1999]]).</ref> was on the [[boundary element method]]. He was invited speaker at the [[International Mathematical Congress]] held in [[Beijing]] in 2002:<ref name="pre2003" /> his talk is an exposition on his work on Wiener–type criteria for higher order elliptic equations. Other two conferences were held on the occasion of his 70th birthday: "''Analysis, PDEs and Applications on the occasion of the 70th birthday of Vladimir Maz'ya''" was held in Rome,<ref>See {{harvtxt|Mitrea|Mitrea|2008|p=ix}} and also the [[#Rome|conference web site (2008)]]. The proceedings were published under the editorship of {{harvtxt|Cialdea|Lanzara|Ricci|2009}}.</ref> while the "''Nordic – Russian Symposium in honour of Vladimir Maz'ya on the occasion of his 70th birthday''" was held in Stockholm.<ref>See {{harvtxt|Mitrea|Mitrea|2008|p=ix}} and also the [[#Stockholm|conference web site (2008)]].</ref> On the same occasion, also a volume of the Proceedings of Symposia in Pure Mathematics was dedicated to him.<ref>See {{harv|Mitrea|Mitrea|2008a}}.</ref> On the occasion of his 80th birthday, a "Workshop on Sobolev Spaces and Partial Differential Equations" was held on 17–18 May 2018 was held at the [[Accademia Nazionale dei Lincei]] to honor him.<ref>See {{harv|Cianchi|Sbordone|Tesei|2018}}.</ref> On the 26–31 May 2019, the international conference "Harmonic Analysis and PDE" was held in his honor at the [[Holon Institute of Technology]].<ref>See the conference web site {{harv|Agranovsky|Bshouty|Golberg|Khavinson|2019}} and also the interview {{harv|Holon Institute of Technology|2019}}.</ref>

==Work==

===Research activity===
{{blockquote
|text= Because of Maz'ya's ability to give complete solutions to problems which are generally considered as unsolvable, [[Gaetano Fichera|Fichera]] once compared Maz'ya with [[Rita of Cascia|Santa Rita]], the 14th century Italian nun who is the Patron Saint of Impossible Causes.
|sign=[[Alberto Cialdea]], [[Flavia Lanzara]] and [[Paolo Emilio Ricci]]
|source={{harv|Cialdea|Lanzara|Ricci|2009|p=xii}}.
}}

Maz'ya authored/coauthored more than 500 publications, including 20 research monographs. Several survey articles describing his work can be found in the book {{harv|Rossmann|Takáč|Wildenhain|1999a}}, and also the paper by [[#{{harvid|Mitrea|Mitrea|2008}}|Dorina and Marius Mitrea (2008]]) describes extensively his research achievements, so these references are the main ones in this section: in particular, the classification of the research work of Vladimir Maz'ya is the one proposed by the authors of these two references. He is also the author of Seventy (Five) Thousand Unsolved Problems in Analysis and Partial Differential Equations which collects problems he considers to be important research directions in the field <ref>Vladimir Maz'ya, Seventy Five (Thousand) Unsolved Problems in Analysis and Partial Differential Equations: https://users.mai.liu.se/vlama82/pdf/Problems2018l_0312.pdf</ref>

====Theory of boundary value problems in nonsmooth domains====
In one of his early papers, {{harvtxt|Maz'ya|1961}} considers the [[Dirichlet problem]] for the following linear elliptic equation:<ref>{{harv|Rossmann|1999|pp=57–58}}. See also {{harv|Stampacchia|1963|p=408}} for a brief remark.</ref><ref>For a survey of this problem, including details on several contributions to its study, see {{harv|Miranda|1970|loc=§30, pp. 121–128}}.</ref>
:{{EquationRef|1|(1){{spaces|5}}}}<math>\mathcal{L} u = \nabla(A(x)\nabla)u+\mathbf{b}(x)\nabla u + c(x)u=f\qquad x\in\Omega\subset\mathbf{R}^n</math>
where 
*{{math|Ω}} is a [[bounded set|bounded]] [[Region (mathematics)|region]] in the {{mvar|n}}–[[Dimension (mathematics)|dimensional]] [[euclidean space]]
*{{math|''A''(''x'')}} is a [[Matrix (mathematics)|matrix]] whose first [[eigenvalue]] is not less than a fixed [[Sign (mathematics)#Terminology for signs|positive]] [[Constant (mathematics)|constant]] {{math|''κ''&nbsp;>&nbsp;0}} and whose entries are [[smooth function|functions sufficiently smooth]] defined on {{math|{{overline|Ω}}}}, the [[Closure (topology)|closure]] of {{math|Ω}}.
*{{math|'''b'''(''x'')}}, {{math|''c''(''x'')}} and {{math|''f''(''x'')}} are respectively a [[vector-valued function]] and two [[scalar function]]s [[smooth function|sufficiently smooth]] on {{math|{{overline|Ω}}}} as their matrix counterpart {{math|''A''(''x'')}}.
He proves the following [[a priori estimate]]
:{{EquationRef|2|(2){{spaces|5}}}}<math>\Vert u \Vert_{L_s(\Omega)} \leq K \left[ \Vert f \Vert_{L_r(\Omega)} + \Vert u \Vert_{L(\Omega)} \right]</math>
for the [[weak solution]] {{mvar|u}} of {{EquationNote|1|equation 1}}, where {{mvar|K}} is a constant depending on {{mvar|n}}, {{mvar|s}}, {{mvar|r}} {{mvar|κ}} and other parameters but not depending on the [[Modulus of continuity|moduli of continuity]] of the coefficients. The integrability exponents of the [[Lp space#Lp spaces and Lebesgue integrals|{{math|''L<sub>p</sub>''}} norms]] in {{EquationNote|2|Estimate 2}} are subject to the relations
#{{math|{{sfrac|1|''s''}}&nbsp;≥&nbsp;{{sfrac|1|''r''}}&nbsp;-&nbsp;{{sfrac|2|''n''}}}}  for  {{math|{{sfrac|''n''|2}}&nbsp;>&nbsp;''r''&nbsp;>&nbsp;1}},
#{{mvar|s}} is an arbitrary positive number for {{math|''r''&nbsp;{{=}}&nbsp;{{sfrac|''n''|2}}}},
the first one of which answers positively to a conjecture proposed by {{harvs|txt|first=Guido|last=Stampacchia|author-link=Guido Stampacchia|year=1958|loc=p. 237}}.<ref>{{harvtxt|Maz'ya|1961|p=413}}.</ref>

==Selected works==

===Papers===
*{{Citation |last=Maz'ya |first=Vladimir G. |work=[[Proceedings of the USSR Academy of Sciences|Доклады Академии Наук СССР]] |volume=133 |pages=527–530 |year=1960 |language=ru |mr=0126152 |zbl=0114.31001 |script-title=ru:Классы областей и теоремы вложения функциональных пространств}}, translated as {{Citation |last=Maz'ya |first=Vladimir G. |title=Classes of domains and imbedding theorems for function spaces |work=[[Proceedings of the USSR Academy of Sciences#Soviet Mathematics|Soviet Mathematics - Doklady]] |volume=1 |pages=882–885 |year=1960 |mr=0126152 |zbl=0114.31001|ref=Maz'ya1960ENG}}.
*{{Citation |last=Maz'ya |first=Vladimir G. |work=[[Proceedings of the USSR Academy of Sciences|Доклады Академии Наук СССР]] |volume=137 |pages=1057–1059 |year=1961 |language=ru |zbl=0115.08701 |script-title=ru:Некторые оценки решений эллиптических уравнений второго порядка}}, translated as {{Citation |last=Maz'ya |first=Vladimir G. |title=Some estimates for solutions of elliptic second-order equations |work=[[Proceedings of the USSR Academy of Sciences#Soviet Mathematics|Soviet Mathematics - Doklady]] |volume=2 |pages=413–415 |year=1961 |zbl=0115.08701|ref=Maz'ya1961ENG}}.
*{{Citation |last=Maz'ya |first=Vladimir G. |url=http://mi.mathnet.ru/rus/faa/v2/i3/p53 |work=Функциональный анализ и его приложения |volume=2 |issue=3 |pages=53–57 |year=1968 |language=ru |mr=2020860 |zbl=0179.43601 |script-title=ru:Примеры нерегулярных решений квазилинейных эллиптических уравнений с аналитическими коэффициентами}}, translated in English as {{Citation |last=Maz'ya |first=Vladimir G. |title=Examples of nonregular solutions of quasilinear elliptic equations with analytic coefficients |journal=[[Functional Analysis and Its Applications]] |volume=2 |issue=3 |pages=230–234 |year=1968 |doi=10.1007/BF01076124 |mr=2020860 |zbl=0179.43601|s2cid=121038871 |ref=Maz'ya1968ENG}}.
*{{Citation |last=Maz'ya |first=V. G. |title=О слабых решениях задач Дирихле и Неймана |url=http://mi.mathnet.ru/eng/mmo/v20/p137 |work=[[Transactions of the Moscow Mathematical Society|Труды Московского математического общества]] |volume=20 |pages=137–172 |year=1969 |language=ru |mr=259329 |zbl=0179.43302}}, translated in English as {{Citation |last=Maz'ya |first=Vladimir G. |title=On weak solutions of the Dirichlet and Neumann problems |work=[[Transactions of the Moscow Mathematical Society]] |volume=20 |pages=135–172 |year=1971 |orig-date=1969 |mr=259329 |zbl=0226.35027}}.
*{{Citation |last1=Maz'ya |first1=Vladimir |title=Discreteness of spectrum and positivity criteria for Schrödinger operators |date=2005 |journal=[[Annals of Mathematics]] |volume=162 |issue=2 |pages=919–942 |arxiv=math/0305278 |doi=10.4007/annals.2005.162.919 |jstor=20159932 |mr=2183285 |zbl=1106.35043 |last2=Shubin |first2=Mikhail |s2cid=14741680 |author-link2=Mikhail Shubin (mathematician)}}

===Books===
*{{Citation |last1=Burago |first1=Yuri D. |title=Некоторые вопросы теории потенциала и теории функций для областей с нерегулярными границами |url=http://mi.mathnet.ru/eng/znsl/v3/p3 |work=[[Zapiski Nauchnykh Seminarov LOMI|Записки научных семинаров ЛОМИ]] |volume=3 |pages=3–152 |year=1967 |trans-title=Certain questions of potential theory and function theory for regions with irregular boundaries |language=ru |mr=227447 |zbl=0172.14903 |last2=Maz'ya |first2=Vladimir G. |author-link=Yuri Dmitrievich Burago}}, translated in English as {{Citation |last1=Burago |first1=Yuri D. |title=Potential Theory and Function Theory on Irregular Regions |url=https://books.google.com/books?id=dqArAAAAYAAJ |volume=3 |pages=vii+68 |year=1969 |series=Seminars in Mathematics, V. A. Steklov Mathematical Institute, Leningrad |place=New York |publisher=[[Consultants Bureau]] |last2=Maz'ya |first2=Vladimir G. |isbn=9780608100449 |author-link=Yuri Dmitrievich Burago}}.
*{{Citation |last1=Gelman |first1=I. W |title=Abschätzungen für Differentialoperatoren im Halbraum |volume=54 |pages=221 |year=1981 |trans-title=Estimates for differential operators in the half space |series=Mathematische Lehrbücher und Monogaphien, II. Albeitung: Mathematische Monographien |place=Berlin |publisher=[[Akademie-Verlag]] |language=de |isbn=978-3-7643-1275-6 |mr=0644480 |zbl=0499.47028 |last2=Mazja |first2=W. G.}}. A definitive monograph, giving a detailed study of [[a priori estimate]]s of constant coefficient matrix differential operators defined on {{math|ℝ''<sup>n</sup>''×(0,+∞]}}, with {{math|''n'' ≥ 1}}: translated as {{Citation |last1=Gelman |first1=Igor W |title=Estimates for differential operators in half-space |volume=31 |pages=xvi+246 |year=2019 |orig-date=1981 |series=EMS Tracts in Mathematics |place=[[Zurich]] |publisher=[[European Mathematical Society]] |language=en |doi=10.4171/191 |isbn=978-3-03719-191-0 |mr=3889979 |zbl=1447.47007 |last2=Maz'ya |first2=Vladimir G. |s2cid=127027104 |translator-last=Apushkinskaya |translator-first=Darya}}.
*{{Citation |last=Maz'ja |first=Vladimir G. |title=Sobolev Spaces |pages=xix+486 |year=1985 |series=Springer Series in Soviet Mathematics |place=Berlin–Heidelberg–New York |publisher=[[Springer-Verlag]] |doi=10.1007/978-3-662-09922-3 |isbn=978-3-540-13589-0 |mr=817985 |zbl=0692.46023}} (also available with {{ISBN|0-387-13589-8}}).
*{{Citation |last1=Maz'ya |first1=Vladimir G. |title=Theory of multipliers in spaces of differentiable functions |journal=Russian Mathematical Surveys |volume=23 |issue=3 |pages=xiii+344 |year=1985 |series=Monographs and Studies in Mathematics |place=Boston – London – Melbourne |bibcode=1983RuMaS..38...23M |doi=10.1070/RM1983v038n03ABEH003484 |isbn=978-0-273-08638-3 |mr=0785568 |zbl=0645.46031 |last2=Shaposhnikova |first2=Tatyana O. |s2cid=250849739 |author-link2=Tatyana Shaposhnikova}}. 
*{{Citation |last=Maz'ya |first=Vladimir G. |title=Analysis IV |volume=27 |pages=127–222 |year=1991 |editor-last=Maz'ya |editor-first=Vladimir G. |series=Encyclopaedia of Mathematical Sciences |contribution=Boundary Integral Equations |place=Berlin–Heidelberg–New York |publisher=[[Springer-Verlag]] |doi=10.1007/978-3-642-58175-5_2 |isbn=978-0-387-51997-5 |mr=1098507 |zbl=0780.45002 |editor2-last=Nikol'skiǐ |editor2-first=S. M. |editor2-link=Sergey Nikolsky}} (also available as {{ISBN|3-540-51997-1}}).
*{{Citation |last1=Maz'ya |first1=Vladimir G. |title=Differentiable Functions on Bad Domains |url=https://books.google.com/books?id=ZeGwVyRtza4C |pages=xx+481 |year=1997 |place=Singapore–New Jersey–London–Hong Kong |publisher=[[World Scientific]] |isbn=978-981-02-2767-8 |mr=1643072 |zbl=0918.46033 |last2=Poborchi |first2=Sergei V.}}.
*{{Citation |last1=Kozlov |first1=Vladimir A. |title=Elliptic Boundary Value Problems in Domains with Point Singularities |url=https://books.google.com/books?id=iA40HapV0hMC |volume=52 |pages=x+414 |year=1997 |series=Mathematical Surveys and Monographs |place=[[Providence, RI]] |publisher=[[American Mathematical Society]] |isbn=978-0-8218-0754-5 |mr=1469972 |zbl=0947.35004 |last2=Maz'ya |first2=Vladimir G. |last3=Rossmann |first3=J. |author-link=Vladimir Arkad'evich Kozlov}}.
*{{Citation |last1=Maz'ya |first1=Vladimir |title=Jacques Hadamard, a Universal Mathematician |url=https://books.google.com/books?id=F-YN_yOkaNAC |volume=14 |pages=xxv+574 |year=1998 |series=History of Mathematics |place=[[Providence, RI]] and [[London]] |publisher=[[American Mathematical Society]] and [[London Mathematical Society]] |isbn=978-0-8218-0841-2 |mr=1611073 |zbl=0906.01031 |last2=Shaposhnikova |first2=Tatyana |author-link2=Tatyana Shaposhnikova}}. There are also two revised and expanded editions: the [[French language|French]] [[translation]] {{Citation |last1=Maz'ya |first1=Vladimir |title=Jacques Hadamard, un mathématicien universel |date=January 2005 |url=https://books.google.com/books?id=NhK6LIApE8UC |pages=554 |orig-date=1998 |series=Sciences & Histoire |place=[[Paris]] |publisher=[[EDP Sciences]] |language=fr |isbn=978-2-86883-707-3 |last2=Shaposhnikova |first2=Tatyana |author-link2=Tatyana Shaposhnikova}}, and the (further revised and expanded) [[Russian language|Russian]] [[translation]] {{Citation |last1=Мазья |first1=В. Г. |title=Жак Адамар—легенда математики |url=http://biblio.mccme.ru/node/1916 |pages=528 |year=2008 |orig-date=1998 |place=[[Moscow|Москва]] |publisher=[[ИздателЬство МЦНМО]] |language=ru |isbn=978-5-94057-083-7 |last2=Шапошникова |first2=Т. О. |author-link2=Tatyana Shaposhnikova |script-title=ru:Жак Адамар Легенда Математики}}.
*{{Citation |last1=Kozlov |first1=Vladimir |title=Differential Equations with Operator Coefficients |url=https://books.google.com/books?id=f-RJ9J4WVmIC |pages=XV+442 |year=1999 |series=Springer Monographs in Mathematics |place=Berlin–Heidelberg–New York |publisher=Springer-Verlag |doi=10.1007/978-3-662-11555-8 |isbn=978-3-540-65119-2 |mr=1729870 |zbl=0920.35003 |last2=Maz'ya |first2=Vladimir |author-link=Vladimir Arkad'evich Kozlov}}.
*{{Citation |last1=Kozlov |first1=Vladimir A. |title=Asymptotic Analysis of Fields in Multi-Structures |pages=xvi+282 |year=1999 |series=Oxford Mathematical Monographs |place=Oxford |publisher=[[Oxford University Press]] |isbn=978-0-19-851495-4 |mr=1860617 |zbl=0951.35004 |last2=Maz'ya |first2=Vladimir G. |last3=Movchan |first3=A. B. |author-link=Vladimir Arkad'evich Kozlov}}.
*{{Citation |last1=Maz'ya |first1=Vladimir G. |title=Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains. Volume I |url=https://books.google.com/books?id=KYwK-MkhzYoC |volume=110 |pages=XXIV+435 |year=2000 |series=Operator Theory: Advances and Applications |publisher=[[Birkhäuser Verlag]] |isbn=978-3-7643-6397-0 |mr=1779977 |zbl=1127.35300 |last2=Nazarov |first2=Serguei |last3=Plamenevskij |first3=Boris}}.
*{{Citation |last1=Maz'ya |first1=Vladimir G. |title=Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains. Volume II |url=https://books.google.com/books?id=GUmM0H2YyvQC |volume=112 |pages=XXIV+323 |year=2000 |series=Operator Theory: Advances and Applications |publisher=[[Birkhäuser Verlag]] |isbn=978-3-7643-6398-7 |mr=1779978 |zbl=1127.35301 |last2=Nazarov |first2=Serguei |last3=Plamenevskij |first3=Boris}}.
*{{Citation |last1=Kozlov |first1=V. A. |title=Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations |url=https://books.google.com/books?id=nm8JEPZ9B24C |volume=85 |pages=x+436 |year=2001 |series=Mathematical Surveys and Monographs |place=[[Providence, RI]] |publisher=[[American Mathematical Society]] |isbn=978-0-8218-2727-7 |mr=1788991 |zbl=0965.35003 |last2=Maz'ya |first2=V. G. |last3=Rossmann |first3=Jürgen |author-link=Vladimir Arkad'evich Kozlov}}.
*{{Citation |last1=Kuznetsov |first1=N. |title=Linear Water Waves. A Mathematical Approach |pages=xviii+513 |year=2002 |place=[[Cambridge]] |publisher=[[Cambridge University Press]] |doi=10.1017/CBO9780511546778 |isbn=978-0-521-80853-8 |mr=1925354 |zbl=0996.76001 |last2=Maz'ya |first2=Vladimir |last3=Vainberg |first3=Boris |author-link3=Boris Rufimovich Vainberg}}.
*{{Citation |last1=Kresin |first1=Gershon |title=Sharp Real-Part Theorems. A Unified Approach |url=http://www.mai.liu.se/~vlmaz/pdf/root.pdf |volume=1903 |pages=xvi+140 |year=2007 |series=Lecture Notes in Mathematics |place=[[Berlin]]–[[Heidelberg]]–[[New York City]] |publisher=Springer-Verlag |isbn=978-3-540-69573-8 |mr=2298774 |zbl=1117.30001 |last2=Maz'ya |first2=Vladimir G. }}.
*{{Citation |last1=Maz'ya |first1=Vladimir |title=Approximate approximations |url=http://www.mai.liu.se/~vlmaz/pdf/ms_book.pdf |volume=141 |pages=xiv+349 |year=2007 |series=Mathematical Surveys and Monographs |place=[[Providence, RI]] |publisher=[[American Mathematical Society]] |doi=10.1090/surv/141 |isbn=978-0-8218-4203-4 |mr=2331734 |zbl=1120.41013 |last2=Schmidt |first2=Gunther|doi-access=free }}.
*{{Citation |last1=Maz'ya |first1=Vladimir G. |title=Theory of Sobolev multipliers. With applications to differential and integral operators |url=https://books.google.com/books?id=QN8uP6Mn0yQC |volume=337 |pages=xiii+609 |year=2009 |orig-date=1985 |series=Grundlehren der Mathematischen Wissenschaft |place=Berlin–Heidelberg–New York |publisher=Springer-Verlag |isbn=978-3-540-69490-8 |mr=2457601 |zbl=1157.46001 |last2=Shaposhnikova |first2=Tatyana O. |author-link2=Tatyana Shaposhnikova}}.
*{{Citation |last1=Maz'ya |first1=Vladimir |title=Elliptic Equations in Polyhedral Domains |url=https://books.google.com/books?id=wOQY83KMubEC |volume=162 |pages=viii+608 |year=2010 |series=Mathematical Surveys and Monographs |place=[[Providence, RI]] |publisher=[[American Mathematical Society]] |doi=10.1090/surv/162 |isbn=978-0-8218-4983-5 |mr=2641539 |zbl=1196.35005 |last2=Rossmann |first2=Jürgen}}.
*{{Citation |last1=Maz'ya |first1=Vladimir G. |title=Boundary Integral Equations on Contours with Peaks |url=https://books.google.com/books?id=0G8bULNdJ2AC |volume=196 |pages=vii+342 |year=2010 |series=Operator Theory: Advances and Applications |place=[[Basel]] |publisher=[[Birkhäuser Verlag]] |doi=10.1007/978-3-0346-0171-9 |isbn=978-3-0346-0170-2 |mr=2584276 |zbl=1179.45001 |last2=Soloviev |first2=Alexander A.}}.
*{{Citation |last=Maz'ya |first=Vladimir G. |title=Sobolev Spaces. With Applications to Elliptic Partial Differential Equations |url=https://books.google.com/books?id=vNx2I5xu1AAC |volume=342 |pages=xxviii+866 |year=2011 |orig-date=1985 |series=Grundlehren der Mathematischen Wissenschaften |edition=2nd revised and augmented |place=Berlin–Heidelberg–New York |publisher=[[Springer Verlag]] |doi=10.1007/978-3-642-15564-2 |isbn=978-3-642-15563-5 |mr=2777530 |zbl=1217.46002}}.
*{{Citation |last1=Kresin |first1=Gershon |title=Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems |volume=183 |pages=vii+317 |year=2012 |series=Mathematical Surveys and Monographs |place=[[Providence, RI]] |publisher=[[American Mathematical Society]] |doi=10.1090/surv/183 |isbn=978-0-8218-8981-7 |mr=2962313 |zbl=1255.35001 |last2=Maz'ya |first2=Vladimir|s2cid=118588520 }}.
*{{Citation |last=Maz'ya |first=Vladimir |title=Differential equations of my young years |pages=xiii+191 |year=2014 |place=[[Basel]] |publisher=[[Birkhäuser Verlag]] |doi=10.1007/978-3-319-01809-6 |isbn=978-3-319-01808-9 |mr=3288312 |zbl=1303.01002}} (also published with {{ISBN|978-3-319-01809-6}}). First Russian edition published as {{Citation |last=Владимир |first=Мазья |title=Истории молодого математика |pages=224 |year=2020 |place=[[Saint Petersburg]] |publisher= Алетейя |isbn=978-5-00165-068-3 }}.
*{{Citation |last=Maz'ya |first=V. G. |title=Boundary behavior of solutions to elliptic equations in general domains |volume=30 |pages=x+431 |year=2018 |series=EMS Tracts in Mathematics |place=[[Zurich]] |publisher=[[European Mathematical Society]] |language=en |doi=10.4171/190 |isbn=978-3-03719-190-3 |mr=3839287 |zbl=1409.35073|s2cid=125662951 }}

==See also==
*[[Function space]]
*[[Multiplication operator]]
*[[Partial differential equation]]
*[[Potential theory]]
*[[Sobolev space]]

==Notes==
{{reflist|29em}}

==References==

{{refbegin}}

{{sfn whitelist|CITEREFO'ConnorRobertson2009}}
=== Biographical and general references ===
*{{Citation |last1=Agranovich |first1=Mikhail S. |title=Vladimir Gilelevich Maz'ya, On the occasion of his 65th birthday |work=[[Russian Journal of Mathematical Physics]] |volume=10 |issue=3 |pages=239–244 |year=2003 |last2=Burago |first2=Yuri D. |last3=Khavin |first3=Victor P. |last4=Kondrat'ev |first4=V. A. |last5=Maslov |first5=Victor P. |last6=Nikol'skii |first6=Sergey M. |last7=Reshetnyak |first7=Yu. G. |last8=Shubin |first8=Mikhail A. |last9=Vainberg |first9=Boris R. |author-link=Mikhail Semenovich Agranovich |author-link2=Yuri Burago |author-link3=Victor Havin |author-link5=Victor Pavlovich Maslov |author-link6=Sergey Nikolsky |author-link8=Mikhail Shubin (mathematician) |author-link9=Boris Rufimovich Vainberg |last10=Volevich |first10=Leonid I. |author10-link=Leonid Volevich}}. A biographical paper written on the occasion of Maz'ya 65th birthday: a freely accessible version is available [https://web.archive.org/web/20120217051103/http://www.mai.liu.se/~vlmaz/VlMaz65.pdf here] from Prof. Maz'ya website.
*{{Citation |last1=Agranovich |first1=Mikhail S. |title=Vladimir Gilelevich Maz'ya (on his 70th birthday) |journal=[[Russian Mathematical Surveys]] |volume=63 |issue=1 |pages=189–196 |year=2008 |bibcode=2008RuMaS..63..189A |doi=10.1070/RM2008v063n01ABEH004511 |mr=2406192 |zbl=1221.01098 |display-authors=8 |last2=Burago |first2=Yuri D. |last3=Vainberg |first3=Boris R. |last4=Vishik |first4=Mark I. |last5=Gindikin |first5=Simon G. |last6=Kondrat'ev |first6=V. A. |last7=Maslov |first7=Victor P. |last8=Poborchii |first8=S. V. |last9=Reshetnyak |first9=Yurii |s2cid=250877257 |author-link=Mikhail Semenovich Agranovich |author-link2=Yuri Burago |author-link3=Boris Rufimovich Vainberg |author-link4=Mark Vishik (mathematician) |author-link5=Simon Gindikin |author-link7=Victor Pavlovich Maslov |author-link9=Yurii Reshetnyak}}. A biographical paper written on the occasion of Maz'ya 70th birthday (a freely accessible English translation is available [https://web.archive.org/web/20120210044538/http://www.mai.liu.se/~vlmaz/70th-anniversary.pdf here] from Prof. Maz'ya web site), translated from the (freely accessible) Russian original {{Citation |last=Agranovich |first=M S |title=Владимир Гилелевич Мазья (к 70-летию со дня рождения) |url=http://mi.mathnet.ru/eng/umn/v63/i1/p183 |journal=[[Russian Mathematical Surveys]] |volume=63 |issue=1 (379) |pages=183–189 |year=2008 |bibcode=2008RuMaS..63..189A |doi=10.1070/RM2008v063n01ABEH004511 |mr=2406192 |zbl=1221.01098 |s2cid=250877257 }}.
*{{Citation |last=AMS |title=Mathematics People |url=http://www.ams.org/notices/200505/people.pdf |work=[[Notices of the American Mathematical Society]] |volume=52 |issue=5 |pages=432–438 |year=2005 |author-link=American Mathematical Society }}.
*{{Citation |last=AMS |title=Mathematics People |url=http://www.ams.org/notices/200909/rtx090901119p.pdf |work=[[Notices of the American Mathematical Society]] |volume=56 |issue=9 |pages=1119–1121 |year=2009 |author-link=American Mathematical Society }}.
*{{Citation |last=AMS |title=List of Fellows of the American Mathematical Society |date=1 November 2012 |url=http://www.ams.org/profession/fellows-list |access-date=13 November 2012 |author-link=American Mathematical Society }}.
*{{Citation |last1=Anolik |first1=M. V. |title=Vladimir Gilelevich Maz'ya (On the Occasion of His 70th Anniversary) |journal=[[Vestnik St. Petersburg University: Mathematics]] |volume=41 |issue=4 |pages=287–289 |year=2008 |doi=10.3103/S1063454108040018 |mr=2485391 |zbl=1172.01313 |last2=Burago |first2=Yuri D. |last3=Dem'yanovich |first3=Yu. K. |last4=Kislyakov |first4=S. V. |last5=Khavin |first5=V. P. |last6=Leonov |first6=G. A. |last7=Morozov |first7=N. F. |last8=Poborchii |first8=S. V. |last9=Ural'tseva |first9=Nina N. |author-link2=Yuri Burago |author-link9=Nina Ural'tseva |last10=Shirokov |first10=N. A.|s2cid=121533514 }}. Another biographical paper written on the occasion of Maz'ya 70th birthday: a freely accessible version is available [https://web.archive.org/web/20120210044611/http://www.mai.liu.se/~vlmaz/70th-aniv.pdf here] from Prof. Maz'ya web site.
*{{Citation |last1=Bonnet |first1=Marc |title=Mathematical Aspects of Boundary Element Methods, dedicated to Vladimir Maz'ya on the occasion of his 60th birthday |volume=414 |pages=3–6 |year=1999 |editor-last=Bonnet |editor-first=M. |series=Chapman & Hall / CRC Research Notes in Mathematics |contribution=Dedication |place=Boca Raton/London |publisher=Chapman & Hall/CRC Press |isbn=978-1-58488-006-6 |mr=1726554 |zbl=0924.00038 |last2=Sändig |first2=Anna-Margarete |last3=Wendland |first3=Wolfgang |editor2-last=Sändig |editor2-first=A.-M. |editor3-last=Wendland |editor3-first=W. L.}}. Proceedings of the minisymposium held at the [[École Polytechnique]], [[Palaiseau]], 25–29 May 1998.
*{{Citation |last=Chillingworth |first=David |title=LMS Annual General Meeting – 20 November 2009 |date=February 2010 |url=http://old.lms.ac.uk/newsletter/389/389_02.html#1 |work=[[London Mathematical Society Newsletter]] |number=389 }}.
*{{Citation |last1=Cialdea |first1=Alberto |title=Analysis, partial differential equations and applications. The Vladimir Maz'ya anniversary volume. Selected lectures from the International Workshop held at Sapienza University, Rome, June 30–July 3, 2008 |volume=193 |pages=ix–xvii |year=2009 |editor-last=Cialdea |editor-first=Alberto |series=Operator Theory: Advances and Applications |contribution=On the Occasion of the 70th Birthday of Vladimir Maz'ya |contribution-url=https://www.springer.com/cda/content/document/cda_downloaddocument/9783764398972-p1.pdf?SGWID=0-0-45-765500-p173877442 |place=Basel |publisher=[[Birkhäuser Verlag]] |doi=10.1007/978-3-7643-9898-9 |isbn=978-3-7643-9897-2 |mr=2760868 |zbl=1173.35006 |last2=Lanzara |first2=Flavia |last3=Ricci |first3=Paolo Emilio |author-link=Alberto Cialdea |author-link2=Flavia Lanzara |author-link3=Paolo Emilio Ricci |editor2-last=Lanzara |editor2-first=Flavia |editor3-last=Ricci |editor3-first=Paolo Emilio }}.
*{{Citation |last1=Eidus |first1=D. |title=Mathemathical Work of Vladimir Maz'ya (on the occasion of his 60th birthday) |url=http://www.mai.liu.se/~vlmaz/60birthday/60birthday.html |work=Functional Differential Equations |volume=4 |issue=1–2 |pages=3–11 |year=1997 |mr=1491785 |zbl=0896.35002 |last2=Khvoles |first2=A. |last3=Kresin |first3=G. |last4=Merzbach |first4=E. |last5=Prössdorf |first5=S. |last6=Shaposhnikova |first6=Tatyana |last7=Sobolevskii |first7=P. |last8=Solomiak |first8=M. |author-link6=Tatyana Shaposhnikova }}.
*{{Citation |volume=Том второй: Биобиблиография выпуск второй М–Я |pages=762 |year=1970 |editor-last=Fomin |editor-first=S. V. |trans-title=Mathematics in the [[USSR]] 1958–1967 |place=[[Москва]] |publisher=Издательство "[[Nauka (publisher)|Наука]]" |language=ru |mr=0250816 |zbl=0199.28501 |editor2-last=Shilov |editor2-first=G. E. |editor-link=Sergei Fomin |editor2-link=Georgiy Shilov |script-title=ru:Математика в СССР 1958–1967}}. A two–volume continuation of the opus "''Mathematics in the [[USSR]] during its first forty years 1917–1957''", describing the developments of Soviet mathematics during the period 1958–1967. Precisely it is meant as a continuation of the second volume of that work and, as such, is titled "''Biobibliography''" (evidently an [[acronym]] of [[biography]] and [[bibliography]]). It includes new biographies (when possible, brief and complete) and bibliographies of works published by new Soviet mathematicians during that period, and updates on the work and biographies of scientist included in the former volume, alphabetically ordered with respect to author's surname.
*{{Citation |last=French Academy of Sciences |title=Prix Verdaguer |url=http://www.academie-sciences.fr/activite/prix/laureat_verdaguer09.pdf |df=dmy-all |year=2009 |archive-url=https://web.archive.org/web/20110531230945/http://www.academie-sciences.fr/activite/prix/laureat_verdaguer09.pdf |language=fr |access-date=8 May 2011 |archive-date=31 May 2011 |author-link=French Academy of Sciences |url-status=dead }}. A list of the winners of the [[Verdaguer Prize]] in [[PDF]] format, including short motivations for the awarding.
*{{Citation |last=Georgian National Academy of Sciences |title=Membership diploma |date=30 October 2013 |url=http://www.science.org.ge/Documents/Diploma/Mazya.pdf |language=ka, en |author-link=Georgian National Academy of Sciences }}. The membership diploma awarded to Vladimir Maz'ya on the occasion of his election as foreign member of the Georgian National Academy of Sciences.
*{{Citation |last=Gohberg |first=Israel |title=The Maz'ya anniversary collection. Vol. 1: On Maz'ya's work in functional analysis, partial differential equations and applications. Based on talks given at the conference, Rostock, Germany, August 31 – September 4, 1998 |url=https://books.google.com/books?id=9xPz9Mg2c_EC |volume=109 |pages=1–5 |year=1999 |editor-last=Rossman |editor-first=Jürgen |series=Operator Theory. Advances and Applications |contribution=Vladimir Maz'ya: Friend and Mathematician. Recollections |place=Basel |publisher=[[Birkhäuser Verlag]] |isbn=978-3-7643-6201-0 |mr=1747861 |zbl=0939.01018 |author-link=Israel Gohberg |editor2-last=Takáč |editor2-first=Peter |editor3-last=Wildenhain |editor3-first=Günther }}.
*{{Citation |last=Havin |first=V. P. |title=Differential equations of my young years |pages=v–vii |year=2014 |editor-last=Maz'ya |editor-first=Vladimir |contribution=Foreword |place=[[Basel]] |publisher=[[Birkhäuser Verlag]] |doi=10.1007/978-3-319-01809-6 |isbn=978-3-319-01808-9 |mr=3288312 |zbl=1303.01002 |author-link=Victor Havin}}.
*{{Citation |title=Prof. Vladimir Mazya, most distinguished mathematician and more |date=2019 |url=https://www.hit.ac.il/en/news/news-and-stories/Prof._Vladimir_Mazya |editor-last=Holon Institute of Technology |series=News & Events |place=[[Holon]], [[Israel]] |editor-link=Holon Institute of Technology }}
*{{Citation |last=Khvoles |first=Aben Aleksandovich |year=1975 |trans-title=Singular integral equations on the space {{math|C{{Sub|ω}}(M)}} |series=Автореферат диссертации на соискание учёной кандидата физико-математических наук |place=[[Tbilisi|Тбилиси]] |publisher=[[Georgian Academy of Sciences|Академяя Наук Грузинскои ССР]]–Razmadze Mathematical Institute|language=Russian |script-title=ru:Сингулярные интегральные уравнения в пространствах {{math|C{{Sub|ω}}(M)}}}}. The summary of the [[kandidat nauk]] thesis of Aben Khvoles, one of the doctoral students of Vladimir Maz'ya.
*{{Citation |last1=Mitrea |first1=Dorina |title=Perspectives in Partial Differential Equations, Harmonic Analysis and Applications. A volume in Honor of Vladimir G Maz'ya's 70th Birthday |volume=79 |pages=vii–xvii |year=2008 |editor-last=Mitrea |editor-first=Dorina |series=Proceedings of Symposia in Pure Mathematics |contribution=On the Scientific Work of V. G. Maz'ya: a personalized account |contribution-url=http://www.ams.org/bookstore/pspdf/pspum-79-intro.pdf |place=[[Providence, RI]] |publisher=[[American Mathematical Society]] |doi=10.1090/pspum/079 |isbn=978-0-8218-4424-3 |mr=1500279 |zbl=1153.01330 |last2=Mitrea |first2=Marius |s2cid=124072993 |author-link=Dorina Mitrea |editor2-last=Mitrea |editor2-first=Marius }}. 
*{{Citation |last=London Mathematical Society |title=Prizewinners 2009 |journal=[[Bulletin of the London Mathematical Society]] |volume=42 |issue=2 |pages=332–340 |year=2010  |doi=10.1112/blms/bdp136 |s2cid=247699187 |author-link=London Mathematical Society}}
*{{Citation |last1=Movchan |first1=A. |title=In honour of Professor Vladimir Maz'ya on the occasion of his 75th birthday |date=May 2015 |journal=[[Mathematika]] |volume=61 |issue=2 |pages=273–275 |doi=10.1112/S0025579315000145 |mr=3343052 |zbl=1314.01024 |last2=Safarov |first2=Yu. |last3=Sobolev |first3=A. |last4=Vassiliev |first4=D. |s2cid=125156765 |doi-access=}} (e–{{ISSN|2041-7942}}).
*{{MacTutor| id=Mazya | title=Vladimir G. Maz'ya | date=2009}}
*{{Citation |title=The Maz'ya Anniversary Collection: Volume 1: On Maz'ya's work in functional analysis, partial differential equations and applications. Papers from the Conference on Functional Analysis, Partial Differential Equations, and Applications held at the University of Rostock, Rostock, August 31–September 4, 1998 |url=https://books.google.com/books?id=9xPz9Mg2c_EC |volume=109 |pages=331–333 |year=1999 |editor-last=Rossmann |editor-first=Jürgen |series=Operator Theory: Advances and Applications |contribution=Curriculum vitae of Vladimir Maz'ya |contribution-url=https://link.springer.com/content/pdf/bbm%3A978-3-0348-8675-8%2F1.pdf |publisher=[[Birkhäuser Verlag]] |isbn=9783764362010 |editor2-last=Takáč |editor2-first=Peter |editor3-last=Wildenhain |editor3-first=Günther }}.
*{{Citation |last=Royal Society of Edinburgh |title=RSE fellows |url=http://www.royalsoced.org.uk/cms/files/fellows/lists/fellows.pdf |year=2008 |access-date=30 April 2012 |archive-date=30 March 2016 |archive-url=https://web.archive.org/web/20160330014912/https://www.royalsoced.org.uk/cms/files/fellows/lists/fellows.pdf |url-status=dead }}.
*{{Citation |last=Sundelöf |first=Lars-Olof |title=Årsbok 2004 |pages=31–39 |year=2004 |contribution=Presentation av priser och belönigar år 2004 |place=[[Uppsala]] |publisher=[[Royal Society of Sciences in Uppsala|Kungl. Vetenskaps-Societeten i Uppsala]] |language=sv |issn=0348-7849}}. The "''Presentation of prizes and awards''" speech given by the Secretary of the Royal Society of Sciences in Uppsala, written in the "''yearbook 2004''", on the occasion of the awarding of the Society prizes to prof. V. Maz'ya and to other 2004 winners.

===Scientific references===
*{{Citation |last=Elschner |first=Johannes |title=The Maz'ya Anniversary Collection: Volume 1: On Maz'ya's work in functional analysis, partial differential equations and applications. Papers from the Conference on Functional Analysis, Partial Differential Equations, and Applications held at the University of Rostock, Rostock, August 31–September 4, 1998 |url=https://books.google.com/books?id=9xPz9Mg2c_EC |volume=109 |pages=35–52 |year=1999 |editor-last=Rossmann |editor-first=Jürgen |series=Operator Theory: Advances and Applications |contribution=The work of Vladimir Maz'ya on integral and pseudodifferential operators |publisher=[[Birkhäuser Verlag]] |doi=10.1007/978-3-0348-8675-8_4 |isbn=978-3-0348-9726-6 |mr=1747864 |zbl=0940.35008 |editor2-last=Takáč |editor2-first=Peter |editor3-last=Wildenhain |editor3-first=Günther }}.
*{{Citation |last=Giaquinta |first=Mariano |title=Multiple integrals in the calculus of variations and nonlinear elliptic systems |url=https://books.google.com/books?id=JwSAewaYsdMC |volume=105 |pages=vii+297 |year=1983 |series=[[Annals of Mathematics Studies]] |place=Princeton, NJ |publisher=[[Princeton University Press]] |isbn=978-0-691-08330-8 |mr=0717034 |zbl=0516.49003 |author-link=Mariano Giaquinta }}.
*{{Citation |last=Giusti |first=Enrico |title=Metodi diretti nel calcolo delle variazioni |pages=VI+422 |year=1994 |series=Monografie Matematiche |place=[[Bologna]] |publisher=[[Unione Matematica Italiana]] |language=it |mr=1707291 |zbl=0942.49002 |author-link=Enrico Giusti}}, translated in English as {{Citation |last=Giusti |first=Enrico |title=Direct Methods in the Calculus of Variations |url=https://books.google.com/books?id=FofhcvUZo9YC |pages=viii+403 |year=2003 |place=[[River Edge, NJ]] – London – Singapore |publisher=[[World Scientific Publishing]] |doi=10.1142/9789812795557 |isbn=978-981-238-043-2 |mr=1962933 |zbl=1028.49001 |author-link=Enrico Giusti }}.
*{{Citation |last1=Kilpeläinen |first1=Tero |title=The Wiener test and potential estimates for quasilinear elliptic equations |journal=[[Acta Mathematica]] |volume=172 |issue=1 |pages=137–161 |year=1994 |doi=10.1007/BF02392793 |mr=1264000 |zbl=0820.35063 |last2=Malý |first2=Jan |doi-access=free}}.
*{{Citation |last1=Kuznetsov |first1=N. G. |title=The Maz'ya Anniversary Collection: Volume 1: On Maz'ya's work in functional analysis, partial differential equations and applications. Papers from the Conference on Functional Analysis, Partial Differential Equations, and Applications held at the University of Rostock, Rostock, August 31–September 4, 1998 |url=https://books.google.com/books?id=9xPz9Mg2c_EC |volume=109 |pages=17–34 |year=1999 |editor-last=Rossmann |editor-first=Jürgen |series=Operator Theory: Advances and Applications |contribution=Maz'ya's works in the linear theory of water waves |publisher=[[Birkhäuser Verlag]] |doi=10.1007/978-3-0348-8675-8_3 |isbn=978-3-0348-9726-6 |mr=1747863 |zbl=0937.35002 |last2=B. R. |first2=Vainberg |author-link2=Boris Rufimovich Vainberg |editor2-last=Takáč |editor2-first=Peter |editor3-last=Wildenhain |editor3-first=Günther }}.
*{{Citation |last=Miranda |first=Carlo |title=Partial Differential Equations of Elliptic Type |volume=Band 2 |pages=XII+370 |year=1970 |orig-date=1955 |series=[[Ergebnisse der Mathematik und ihrer Grenzgebiete]] – 2 Folge |edition=2nd Revised |place=Berlin – Heidelberg – New York |publisher=[[Springer Verlag]] |doi=10.1007/978-3-642-87773-5 |isbn=978-3-540-04804-6 |mr=0284700 |zbl=0198.14101 |author-link=Carlo Miranda |translator-last=Motteler |translator-first=Zane C.}}.
*{{Citation |last1=Riesz |first1=Frigyes |title=Functional analysis |pages=XII+468 |year=1955 |publisher=[[Frederick Ungar Publishing Company|Frederick Ungar Publishing Co.]] |mr=0071727 |zbl=0070.10902 |last2=Szőkefalvi-Nagy |first2=Béla |author-link=Frigyes Riesz |author-link2=Béla Szőkefalvi-Nagy |translator-last=Boron |translator-first=Leo F.}}.
*{{Citation |last=Rossmann |first=Jürgen |title=The Maz'ya Anniversary Collection: Volume 1: On Maz'ya's work in functional analysis, partial differential equations and applications. Papers from the Conference on Functional Analysis, Partial Differential Equations, and Applications held at the University of Rostock, Rostock, August 31–September 4, 1998 |url=https://books.google.com/books?id=9xPz9Mg2c_EC |volume=109 |pages=53–98 |year=1999 |editor-last=Rossmann |editor-first=Jürgen |series=Operator Theory: Advances and Applications |contribution=Contributions of V. Maz'ya to the theory of boundary value problems in nonsmooth domains |publisher=[[Birkhäuser Verlag]] |doi=10.1007/978-3-0348-8675-8_5 |isbn=978-3-0348-9726-6 |mr=1747865 |zbl=0936.35006 |editor2-last=Takáč |editor2-first=Peter |editor3-last=Wildenhain |editor3-first=Günther }}.
*{{Citation |last=Stampacchia |first=Guido |title=Contributi alla regolarizzazione delle soluzioni dei problemi al contorno per equazioni del secondo ordine ellittiche |url=http://www.numdam.org/item?id=ASNSP_1958_3_12_3_223_0 |journal=[[Annali della Scuola Normale Superiore di Pisa. Classe di Scienze]] |volume=12 |issue=3 |pages=223–245 |year=1958 |trans-title=Contributions to the regularization of the solutions to boundary value problems for second order elliptic equations |series=Serie 3 |language=it |mr=125313 |zbl=0082.09701 |author-link=Guido Stampacchia }}.
*{{Citation |last=Stampacchia |first=Guido |title=Proceedings of the International Congress of Mathematicians, 15–22 August 1962, Stockholm |url=http://www.mathunion.org/ICM/ICM1962.1/ |volume=1962, Vol. 1 |pages=405–413 |year=1963 |series=[[International Congress of Mathematicians|ICM Proceedings]] |contribution=Second order elliptic equations and boundary value problems |contribution-url=http://www.mathunion.org/ICM/ICM1962.1/Main/icm1962.1.0405.0413.ocr.pdf |place=[[Stockholm]] |publisher=Almqvist & Wiksells |mr=0176198 |zbl=0137.06803 |author-link=Guido Stampacchia }}.

===Publications and conferences and dedicated to Vladimir Maz'ya===
*{{Cite web |title=Analysis, PDEs and Applications, Conference on the occasion of the 70th birthday of Vladimir Maz'ya |url=http://www.mat.uniroma1.it/ricerca/convegni/2008/mazya08/ |date=30 June – 3 July 2008 |publisher=University of Rome |access-date=16 September 2012 |ref=Rome }}.
*{{Citation |last=AA. VV. |title=Issue dedicated to Vladimir Maz'ya |date=May 2015 |work=[[Mathematika]] |volume=61 |issue=2 |pages=273–500 |doi=10.1112/S0025579315000030 |issn=0025-5793 |mr=3343052 |zbl=1314.01024 |author-link=Various authors |doi-access=free}} (e–{{ISSN|2041-7942}}).
*{{Citation |title=Harmonic Analysis and PDE. International Conference in honor of Vladimir Maz'ya |date=26–31 May 2019 |url=http://golberga.faculty.hit.ac.il/HAPDE19/HAPDE19.html |editor-last=Agranovsky |editor-first=Mark |place=[[Holon]], [[Israel]] |publisher=[[Bar-Ilan University]], [[Holon Institute of Technology]], and [[Peoples' Friendship University of Russia]] |editor2-last=Bshouty |editor2-first=Daoud |editor3-last=Golberg |editor3-first=Anatoly |editor4-last=Khavinson |editor4-first=Dmitry |editor5-last=Kresin |editor5-first=Gershon |editor6-last=Kuchment |editor6-first=Petr |editor7-last=Shoikhet |editor7-first=David |editor8-last=Skubachevskii |editor8-first=Alexa |editor9-last=Sodin |editor9-first=Mikhail |editor10-last=Yakubov |editor10-first=Eduard |editor11-last=Zalcman |editor11-first=Lawrence |editor11-link=Lawrence Zalcman }}
*{{Citation |title=Mathematical Aspects of Boundary Element Methods, dedicated to Vladimir Maz'ya on the occasion of his 60th birthday |volume=414 |pages=305 |year=1999 |editor-last=Bonnet |editor-first=M. |series=Chapman & Hall/CRC Research Notes in Mathematics |place=Boca Raton/London |publisher=[[Chapman & Hall]]/[[CRC Press|CRC]] |isbn=978-1-58488-006-6 |mr=1726554 |zbl=0924.00038 |editor2-last=Sändig |editor2-first=A.–M. |editor3-last=Wendland |editor3-first=W. L.|ref=none}}. Proceedings of the minisymposium held at the [[École Polytechnique]], [[Palaiseau]], 25–29 May 1998.
*{{Citation |title=Analysis, partial differential equations and applications. The Vladimir Maz'ya anniversary volume. Selected lectures from the International Workshop held at Sapienza University, Rome, June 30–July 3, 2008 |volume=193 |pages=ix–xvii |year=2009 |editor-last=Cialdea |editor-first=Alberto |series=Operator Theory: Advances and Applications |place=Basel |publisher=[[Birkhäuser Verlag]] |doi=10.1007/978-3-7643-9898-9 |isbn=978-3-7643-9897-2 |mr=2760868 |zbl=1173.35006 |editor2-last=Lanzara |editor2-first=Flavia |editor3-last=Ricci |editor3-first=Paolo Emilio|ref=none}}.
*{{Citation |title=Workshop on Sobolev Spaces and Partial Differential Equations In honour of V. Maz'ya on the occasion of his 80th birthday |date=17–18 May 2018 |url=http://www.sobolevspacesandpdes.altervista.org |archive-url=https://web.archive.org/web/20180420152243/http://www.sobolevspacesandpdes.altervista.org/ |archive-date=2018-04-20 |editor-last=Cianchi |editor-first=Andrea |location=Rome |publisher=[[Accademia Nazionale dei Lincei]] |editor2-last=Sbordone |editor2-first=Carlo |editor3-last=Tesei |editor3-first=Alberto |editor2-link=Carlo Sbordone |editor3-link=Alberto Tesei }}.
*{{Citation |title=Around the research of Vladimir Maz'ya. I. Function spaces |volume=11 |pages=xxi+395 |year=2010 |editor-last=Laptev |editor-first=Ari |series=International Mathematical Series (New York) |place=New York/[[Novosibirsk]] |publisher=[[Springer Verlag]]/Tamara Rozhkovskaya Publisher |doi=10.1007/978-1-4419-1341-8 |isbn=978-1-4419-1340-1 |issn=1571-5485 |mr=2676166 |zbl=1180.47001 |editor-link=Ari Laptev}} (also published with {{ISBN|978-1-4614-2547-2}}; {{ISBN|978-1-4419-1341-8}}; and {{ISBN|978-5-9018-7341-0}}).
*{{Citation |title=Around the research of Vladimir Maz'ya. II. Partial Differential Equations |volume=12 |pages=xxii+385 |year=2010a |editor-last=Laptev |editor-first=Ari |series=International Mathematical Series (New York) |place=New York/[[Novosibirsk]] |publisher=[[Springer Verlag]]/Tamara Rozhkovskaya Publisher |doi=10.1007/978-1-4419-1343-2 |isbn=978-1-4419-1342-5 |issn=1571-5485 |mr=2664211 |zbl=1180.47002}} (also published with {{ISBN|978-1-4614-2548-9}}; {{ISBN|978-1-4419-1343-2}}; and {{ISBN|978-5-9018-7342-7}}).
*{{Citation |title=Around the research of Vladimir Maz'ya. III. Analysis and applicationsn spaces |volume=13 |pages=xxi+388 |year=2010b |editor-last=Laptev |editor-first=Ari |series=International Mathematical Series (New York) |place=New York/[[Novosibirsk]] |publisher=[[Springer Verlag]]/Tamara Rozhkovskaya Publisher |doi=10.1007/978-1-4419-1345-6 |isbn=978-1-4419-1344-9 |issn=1571-5485 |mr=2664210 |zbl=1180.47003}} (also published with {{ISBN|978-1-4614-2551-9}}; {{ISBN|978-1-4419-1345-6}}; and {{ISBN|978-5-9018-7343-4}}).
*{{Citation |title=Perspectives in Partial Differential Equations, Harmonic Analysis and Applications. A volume in Honor of Vladimir G Maz'ya's 70th Birthday |volume=79 |pages=vi+423 |year=2008a |editor-last=Mitrea |editor-first=Dorina |series=Proceedings of Symposia in Pure Mathematics |place=[[Providence, RI]] |publisher=[[American Mathematical Society]] |doi=10.1090/pspum/079 |isbn=978-0-8218-4424-3 |mr=1500279 |zbl=1149.43002 |s2cid=124072993 |editor2-last=Mitrea |editor2-first=Marius}}.
*{{Citation |title=The Maz'ya Anniversary Collection: Volume 1: On Maz'ya's work in functional analysis, partial differential equations and applications. Papers from the Conference on Functional Analysis, Partial Differential Equations, and Applications held at the University of Rostock, Rostock, August 31–September 4, 1998 |url=https://books.google.com/books?id=9xPz9Mg2c_EC |volume=109 |pages=xii+364 |year=1999a |editor-last=Rossmann |editor-first=Jürgen |series=Operator Theory: Advances and Applications |publisher=[[Birkhäuser Verlag]] |doi=10.1007/978-3-0348-8675-8 |isbn=978-3-7643-6201-0 |mr=1747860 |zbl=0923.00034 |editor2-last=Takáč |editor2-first=Peter |editor3-last=Wildenhain |editor3-first=Günther }}.
*{{Citation |title=The Mazʹya anniversary collection. Vol. 2. Rostock Conference on Functional Analysis, Partial Differential Equations and Applications. Papers from the conference held at the University of Rostock, Rostock, August 31–September 4, 1998 |url=https://books.google.com/books?id=tRvY3N7TyVsC |volume=110 |pages=xvi+352 |year=1999b |editor-last=Rossmann |editor-first=Jürgen |series=Operator Theory: Advances and Applications |publisher=[[Birkhäuser Verlag]] |doi=10.1007/978-3-0348-8672-7 |isbn=978-3-7643-6202-7 |mr=1747883 |zbl=0923.00035 |editor2-last=Takáč |editor2-first=Peter |editor3-last=Wildenhain |editor3-first=Günther }}.
*{{Cite web |title=Nordic – Russian Symposium in honour of Vladimir Maz'ya on the occasion of his 70th birthday |url=http://www.math.kth.se/mazya/ |date=25–27 August 2008 |publisher=Department of mathematics – KTH |access-date=16 September 2012 |ref=Stockholm }}.
{{refend}}

==External links==
*{{MathGenealogy|id=51663}}
*[http://users.mai.liu.se/vlama82/ Professor's Maz'ya's home page]

{{Authority control}}

{{DEFAULTSORT:Mazya, Vladimir Gilelevich}}
[[Category:1937 births]]
[[Category:Living people]]
[[Category:Mathematicians from Saint Petersburg]]
[[Category:Russian Jews]]
[[Category:Soviet emigrants to Sweden]]
[[Category:Soviet mathematicians]]
[[Category:Swedish people of Russian-Jewish descent]]
[[Category:20th-century Russian mathematicians]]
[[Category:21st-century Russian mathematicians]]
[[Category:Academics of the University of Liverpool]]
[[Category:Fellows of the Royal Society of Edinburgh]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:Academic staff of Linköping University]]
[[Category:Mathematical analysts]]
[[Category:Members of the Royal Swedish Academy of Sciences]]
[[Category:Partial differential equation theorists]]