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Mathematics of the USSR-Izvestiya, 1981, Volume 16, Issue 1, Pages 41–54
DOI: https://doi.org/10.1070/IM1981v016n01ABEH001293 (Mi im1530) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On geometric properties of the boundary of a domain of holomorphy

S. N. Bychkov
English version PDF (894 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM1981v016n01ABEH001293
Abstract: In this article the author obtains a description of the Shilov boundary of a convex domain in $\mathbf C^n$. Based on this description, he proves that the metric dimension of the Shilov boundary of a bounded convex domain in $\mathbf C^2$ is not less than two.
Bibliography: 15 titles.
Received: 14.09.1979
Bibliographic databases:
UDC: 517.5
MSC: Primary 32F99; Secondary 46J20
Language: English
Original paper language: Russian
Citation: S. N. Bychkov, “On geometric properties of the boundary of a domain of holomorphy”, Math. USSR-Izv., 16:1 (1981), 41–54
Citation in format AMSBIB
\Bibitem{Byc80}
\by S.~N.~Bychkov
\paper On geometric properties of the boundary of a~domain of holomorphy
\jour Math. USSR-Izv.
\yr 1981
\vol 16
\issue 1
\pages 41--54
\mathnet{http://mi.mathnet.ru//eng/im1530}
\crossref{https://doi.org/10.1070/IM1981v016n01ABEH001293}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=563785}
\zmath{https://zbmath.org/?q=an:0464.32007|0437.32012}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981LP24600003}
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  • https://doi.org/10.1070/IM1981v016n01ABEH001293
  • https://www.mathnet.ru/eng/im/v44/i1/p46
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:311
    Russian version PDF:103
    English version PDF:33
    References:63
    First page:1
     
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