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Mathematics of the USSR-Sbornik, 1974, Volume 23, Issue 1, Pages 110–121
DOI: https://doi.org/10.1070/SM1974v023n01ABEH001715 (Mi sm3636) 		 
Some area theorems for analytic functions with a quasiconformal extension

Yu. E. Alenitsyn
English version PDF (644 kB) Russian version article
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DOI: https://doi.org/10.1070/SM1974v023n01ABEH001715
Abstract: Univalent and $p$-valent conformal mappings of a domain with a univalent and $p$-valent quasiconformal extension into its exterior respectively are considered. Theorems sharpening certain well-known area theorems for conformal mappings of a domain are established for such mappings.
Bibliography: 11 titles.
Received: 11.06.1973
Bibliographic databases:
UDC: 517.54
MSC: Primary 30A30, 30A66, 30A60; Secondary 30A34, 30A40, 30A04
Language: English
Original paper language: Russian
Citation: Yu. E. Alenitsyn, “Some area theorems for analytic functions with a quasiconformal extension”, Math. USSR-Sb., 23:1 (1974), 110–121
Citation in format AMSBIB
\Bibitem{Ale74}
\by Yu.~E.~Alenitsyn
\paper Some area theorems for analytic functions with a~quasiconformal extension
\jour Math. USSR-Sb.
\yr 1974
\vol 23
\issue 1
\pages 110--121
\mathnet{http://mi.mathnet.ru//eng/sm3636}
\crossref{https://doi.org/10.1070/SM1974v023n01ABEH001715}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=344456}
\zmath{https://zbmath.org/?q=an:0298.30013}
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    Abstract page:348
    Russian version PDF:110
    English version PDF:12
    References:46
     
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