Geodesic
Some properties of conformal and quasiconformal mappings and direct theorems of the constructive theory of functions
Izvestiya. Mathematics , Tome 8 (1974) no. 6, pp. 1323-1341

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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. 
@article{IM2_1974_8_6_a9,
     author = {V. I. Belyi and V. M. Miklyukov},
     title = {Some properties of conformal and quasiconformal mappings and direct theorems of the constructive theory of functions},
     journal = {Izvestiya. Mathematics },
     pages = {1323--1341},
     publisher = {mathdoc},
     volume = {8},
     number = {6},
     year = {1974},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1974_8_6_a9/}
}
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V. I. Belyi; V. M. Miklyukov. Some properties of conformal and quasiconformal mappings and direct theorems of the constructive theory of functions. Izvestiya. Mathematics , Tome 8 (1974) no. 6, pp. 1323-1341. http://geodesic.mathdoc.fr/item/IM2_1974_8_6_a9/