Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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) Russian version article
References:
PDF
HTML
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
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”, 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 Math. USSR-Sb.
\yr 1976
\vol 28
\issue 1
\pages 49--71
\mathnet{http://mi.mathnet.ru//eng/sm2706}
\crossref{https://doi.org/10.1070/SM1976v028n01ABEH001640}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=409872}
\zmath{https://zbmath.org/?q=an:0338.35066}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1976EM69000004}
Linking options:
  • https://www.mathnet.ru/eng/sm2706
  • 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024