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Mathematics of the USSR-Izvestiya, 1974, Volume 8, Issue 6, Pages 1323–1341
DOI: https://doi.org/10.1070/IM1974v008n06ABEH002150 (Mi im2015) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Some properties of conformal and quasiconformal mappings and direct theorems of the constructive theory of functions

V. I. Belyi, V. M. Miklyukov
English version PDF (692 kB) Citations (10) Russian version article
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DOI: https://doi.org/10.1070/IM1974v008n06ABEH002150
Abstract: This paper is devoted to an application of the methods of geometric function theory of a single complex variable and some results from the theory of conformal and quasiconformal mappings to a solution of the direct problem of the constructive theory of functions.
Direct theorems are obtained for the theory of approximation of functions regular in regions bounded by quasiconformal curves admitting a geometric description. In particular, direct theorems are obtained for arbitrary bounded convex regions.
Received: 27.10.1973
Bibliographic databases:
UDC: 517.5
MSC: Primary 30A60, 30A82; Secondary 30A24
Language: English
Original paper language: Russian
Citation: V. I. Belyi, V. M. Miklyukov, “Some properties of conformal and quasiconformal mappings and direct theorems of the constructive theory of functions”, Math. USSR-Izv., 8:6 (1974), 1323–1341
Citation in format AMSBIB
\Bibitem{BelMik74}
\by V.~I.~Belyi, V.~M.~Miklyukov
\paper Some properties of conformal and quasiconformal mappings and direct theorems of the constructive theory of functions
\jour Math. USSR-Izv.
\yr 1974
\vol 8
\issue 6
\pages 1323--1341
\mathnet{http://mi.mathnet.ru/eng/im2015}
\crossref{https://doi.org/10.1070/IM1974v008n06ABEH002150}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=387603}
\zmath{https://zbmath.org/?q=an:0312.30035}
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    • This publication is cited in the following 10 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
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    Abstract page:782
    Russian version PDF:289
    English version PDF:115
    References:165
    First page:2
     
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