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Mathematics of the USSR-Sbornik, 1982, Volume 43, Issue 3, Pages 403–411
DOI: https://doi.org/10.1070/SM1982v043n03ABEH002571 (Mi sm2406) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Hartogs compacts of holomorphy

M. Shirinbekov
English version PDF (725 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM1982v043n03ABEH002571
Abstract: This paper considers the question of characterizing Hartogs compacts of holomorphy in the space of two complex variables by finding connections with problems of approximating functions on compact sets by superharmonic (harmonic) functions. In particular, it gives a solution of the problem of uniformly approximating a function continuous on a compact set and superharmonic in the interior by functions superharmonic on the compact set.
Bibliography: 10 titles.
Received: 21.07.1980
Bibliographic databases:
UDC: 517.55
MSC: Primary 32A07; Secondary 31C05
Language: English
Original paper language: Russian
Citation: M. Shirinbekov, “On Hartogs compacts of holomorphy”, Math. USSR-Sb., 43:3 (1982), 403–411
Citation in format AMSBIB
\Bibitem{Shi81}
\by M.~Shirinbekov
\paper On Hartogs compacts of holomorphy
\jour Math. USSR-Sb.
\yr 1982
\vol 43
\issue 3
\pages 403--411
\mathnet{http://mi.mathnet.ru//eng/sm2406}
\crossref{https://doi.org/10.1070/SM1982v043n03ABEH002571}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=628220}
\zmath{https://zbmath.org/?q=an:0502.32009}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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