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Mathematics of the USSR-Sbornik, 1981, Volume 40, Issue 4, Pages 469–507
DOI: https://doi.org/10.1070/SM1981v040n04ABEH001841 (Mi sm2736) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Uniform estimates for solutions of the $\overline\partial$-equation in pseudoconvex polyhedra

A. G. Sergeev, G. M. Henkin
English version PDF (2722 kB) Citations (19) Russian version article
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DOI: https://doi.org/10.1070/SM1981v040n04ABEH001841
Abstract: It is proved that the nonhomogeneous Cauchy–Riemann equation on an analytic submanifold “in general position” in a Cartesian product of strictly convex domains admits a solution with a uniform estimate. The possibility of weakening the requirement of “general position” in this result is investigated.
Bibliography: 46 titles.
Received: 03.09.1979 and 31.03.1980
Bibliographic databases:
Document Type: Article
UDC: 517.55+519.444
MSC: Primary 32F20; Secondary 35N15, 32A25
Language: English
Original paper language: Russian
Citation: A. G. Sergeev, G. M. Henkin, “Uniform estimates for solutions of the $\overline\partial$-equation in pseudoconvex polyhedra”, Math. USSR-Sb., 40:4 (1981), 469–507
Citation in format AMSBIB
\Bibitem{SerHen80}
\by A.~G.~Sergeev, G.~M.~Henkin
\paper Uniform estimates for solutions of the $\overline\partial$-equation in pseudoconvex polyhedra
\jour Math. USSR-Sb.
\yr 1981
\vol 40
\issue 4
\pages 469--507
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\crossref{https://doi.org/10.1070/SM1981v040n04ABEH001841}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=587037}
\zmath{https://zbmath.org/?q=an:0472.32015|0452.32012}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MW11700002}
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  • https://doi.org/10.1070/SM1981v040n04ABEH001841
  • https://www.mathnet.ru/eng/sm/v154/i4/p522
    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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