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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 7 scientific papers (total in 7 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 (7) 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{http://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 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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