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Mathematics of the USSR-Sbornik, 1976, Volume 28, Issue 3, Pages 301–313
DOI: https://doi.org/10.1070/SM1976v028n03ABEH001653 (Mi sm2754) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Holomorphic functions of several complex variables with nonnegative real part. Traces of holomorphic and pluriharmonic functions on the Shilov boundary

L. A. Aizenberg, Sh. A. Dautov
English version PDF (827 kB) Citations (13) Russian version article
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DOI: https://doi.org/10.1070/SM1976v028n03ABEH001653
Abstract: For a certain class of domains, conditions are given which a continuous function $\varphi$ on the Shilov boundary $S$ of a domain $D$ must satisfy in order that there exist a holomorphic (pluriharmonic) function $f$ in $D$, continuous on $\overline D$ and such that $f|_S=\varphi$.
Bibliography: 24 titles.
Received: 01.03.1975
Bibliographic databases:
UDC: 517.55
MSC: Primary 31C10, 32A07; Secondary 46J15, 46J20
Language: English
Original paper language: Russian
Citation: L. A. Aizenberg, Sh. A. Dautov, “Holomorphic functions of several complex variables with nonnegative real part. Traces of holomorphic and pluriharmonic functions on the Shilov boundary”, Math. USSR-Sb., 28:3 (1976), 301–313
Citation in format AMSBIB
\Bibitem{AizDau76}
\by L.~A.~Aizenberg, Sh.~A.~Dautov
\paper Holomorphic functions of several complex variables with nonnegative real part. Traces of holomorphic and pluriharmonic functions on the Shilov boundary
\jour Math. USSR-Sb.
\yr 1976
\vol 28
\issue 3
\pages 301--313
\mathnet{http://mi.mathnet.ru//eng/sm2754}
\crossref{https://doi.org/10.1070/SM1976v028n03ABEH001653}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=414917}
\zmath{https://zbmath.org/?q=an:0341.32002}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1976EM69200003}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:550
    Russian version PDF:144
    English version PDF:33
    References:78
     
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