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Mathematics of the USSR-Sbornik, 1981, Volume 39, Issue 1, Pages 61–86
DOI: https://doi.org/10.1070/SM1981v039n01ABEH001470 (Mi sm2492) 		 
This article is cited in 39 scientific papers (total in 39 papers)

Holomorphic inequivalence of some classes of domains in $\mathbf C^n$

S. I. Pinchuk
English version PDF (1622 kB) Citations (39) Russian version article
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DOI: https://doi.org/10.1070/SM1981v039n01ABEH001470
Abstract: This article proves the biholomorphic inequivalence of some classes of domains in $\mathbf C^n$: in particular, bounded pseudoconvex domains with smooth and piecewise smooth (but not smooth) boundaries. It is shown that a proper holomorphic mapping of one strictly pseudoconvex domain onto another is locally biholomorphic.
Bibliography: 20 titles.
Received: 06.06.1979
Bibliographic databases:
UDC: 517.55
MSC: Primary 32H99; Secondary 32H10, 32F15
Language: English
Original paper language: Russian
Citation: S. I. Pinchuk, “Holomorphic inequivalence of some classes of domains in $\mathbf C^n$”, Math. USSR-Sb., 39:1 (1981), 61–86
Citation in format AMSBIB
\Bibitem{Pin80}
\by S.~I.~Pinchuk
\paper Holomorphic inequivalence of some classes of domains in~$\mathbf C^n$
\jour Math. USSR-Sb.
\yr 1981
\vol 39
\issue 1
\pages 61--86
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\crossref{https://doi.org/10.1070/SM1981v039n01ABEH001470}
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\zmath{https://zbmath.org/?q=an:0464.32014|0442.32005}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981LQ97300003}
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    • This publication is cited in the following 39 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
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    Abstract page:507
    Russian version PDF:167
    English version PDF:31
    References:73
     
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