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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1974 Volume 38, Issue 6, Pages 1343–1361 (Mi im2015)

This article is cited 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


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.

UDC: 517.5

MSC: Primary 30A60, 30A82; Secondary 30A24

Received: 27.10.1973


 English version:
Mathematics of the USSR-Izvestiya, 1974, 8:6, 1323–1341

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