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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 82, Issue 2, Pages 471–483
DOI: https://doi.org/10.1070/SM1995v082n02ABEH003576 (Mi sm921) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On continuous extension and rigidity of holomorphic mappings between domains with piecewise smooth boundaries

A. B. Sukhov

Bashkir State University
English version PDF (826 kB) Citations (5) Russian version article
References:
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DOI: https://doi.org/10.1070/SM1995v082n02ABEH003576
Abstract: A theorem is proved concerning the boundary continuity of holomorphic mappings between domains with piecewise smooth strictly pseudoconvex boundaries in $\mathbb{C}^n$. This theorem is used to establish results on nonexistence of proper holomorphic mappings between certain classes of domains.
Received: 13.10.1993
Bibliographic databases:
UDC: 517.55
MSC: Primary 32D15; Secondary 32H35
Language: English
Original paper language: Russian
Citation: A. B. Sukhov, “On continuous extension and rigidity of holomorphic mappings between domains with piecewise smooth boundaries”, Russian Acad. Sci. Sb. Math., 82:2 (1995), 471–483
Citation in format AMSBIB
\Bibitem{Suk94}
\by A.~B.~Sukhov
\paper On continuous extension and rigidity of holomorphic mappings between domains with piecewise smooth boundaries
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 82
\issue 2
\pages 471--483
\mathnet{http://mi.mathnet.ru/eng/sm921}
\crossref{https://doi.org/10.1070/SM1995v082n02ABEH003576}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1302626}
\zmath{https://zbmath.org/?q=an:0843.32006}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RV83000014}
Linking options:
  • https://www.mathnet.ru/eng/sm921
  • https://doi.org/10.1070/SM1995v082n02ABEH003576
  • https://www.mathnet.ru/eng/sm/v185/i8/p115
    • This publication is cited in the following 5 articles:
    1. A. B. Sukhov, “On holomorphic mappings of strictly pseudoconvex domains”, Sb. Math., 213:11 (2022), 1597–1619  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. S. Pinchuk, R. Shafikov, A. Sukhov, “Some Aspects of Holomorphic Mappings: A Survey”, Proc. Steklov Inst. Math., 298 (2017), 212–247  mathnet  crossref  crossref  isi  elib
    3. G. P. Balakumar, Kaushal Verma, “Some regularity theorems for CR mappings”, Math. Z, 274:1-2 (2013), 117  crossref  mathscinet  zmath
    4. Coupet B. Sukhov A., “On Cr Mappings Between Pseudoconvex Hypersurfaces of Finite Type in C-2”, Duke Math. J., 88:2 (1997), 281–304  crossref  mathscinet  zmath  isi
    5. Coupet B. Pinchuk S. Sukhov A., “On Boundary Rigidity and Regularity of Holomorphic Mappings”, Int. J. Math., 7:5 (1996), 617–643  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:319
    Russian version PDF:90
    English version PDF:30
    References:66
    First page:1
     
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