Some area theorems for analytic functions with a~quasiconformal extension
Sbornik. Mathematics, Tome 23 (1974) no. 1, pp. 110-121

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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.
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Yu. E. Alenitsyn. Some area theorems for analytic functions with a~quasiconformal extension. Sbornik. Mathematics, Tome 23 (1974) no. 1, pp. 110-121. http://geodesic.mathdoc.fr/item/SM_1974_23_1_a5/