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Mathematics of the USSR-Sbornik, 1976, Volume 28, Issue 1, Pages 49–71
DOI: https://doi.org/10.1070/SM1976v028n01ABEH001640 (Mi sm2706) 		 
This article is cited in 17 scientific papers (total in 17 papers)

A formula and estimates for the solutions of the tangential Cauchy–Riemann equation

A. V. Romanov
English version PDF (1361 kB) Citations (17)
References:
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DOI: https://doi.org/10.1070/SM1976v028n01ABEH001640
Abstract: In this paper an explicit integral formula is derived for solutions of the homogeneous tangential Cauchy–Riemann equation on the boundary of a strongly pseudoconvex domain in $\mathbf C^n$, and best possible estimates are obtained. Using this formula, some questions on the approximation of holomorphic functions on the boundary of a strongly pseudoconvex domain are studied.
Bibliography: 27 titles.
Received: 08.04.1975
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1976, Volume 99(141), Number 1, Pages 58–83
Bibliographic databases:
UDC: 517.9
MSC: 35N15, 35C15, 35B45
Language: English
Original paper language: Russian
Citation: A. V. Romanov, “A formula and estimates for the solutions of the tangential Cauchy–Riemann equation”, Mat. Sb. (N.S.), 99(141):1 (1976), 58–83; Math. USSR-Sb., 28:1 (1976), 49–71
Citation in format AMSBIB
\Bibitem{Rom76}
\by A.~V.~Romanov
\paper A~formula and estimates for the solutions of the tangential Cauchy--Riemann equation
\jour Mat. Sb. (N.S.)
\yr 1976
\vol 99(141)
\issue 1
\pages 58--83
\mathnet{http://mi.mathnet.ru/sm2706}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=409872}
\zmath{https://zbmath.org/?q=an:0338.35066}
\transl
\jour Math. USSR-Sb.
\yr 1976
\vol 28
\issue 1
\pages 49--71
\crossref{https://doi.org/10.1070/SM1976v028n01ABEH001640}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1976EM69000004}
Linking options:
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  • https://doi.org/10.1070/SM1976v028n01ABEH001640
  • https://www.mathnet.ru/eng/sm/v141/i1/p58
    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:599
    Russian version PDF:148
    English version PDF:15
    References:91
    First page:1
     
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