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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2014 Volume 55, Number 4, Pages 875–881 (Mi smj2578)

This article is cited in 1 paper

Biholomorphic mappings of the disk onto strongly convex domains

V. V. Starkov, N. A. Shmelev

Petrozavodsk State University, Petrozavodsk, Russia

Abstract: Strongly convex analysis is widely applied in various areas of mathematics (see [1,2]). The article gives a full description of $R$-convex planar domains in terms of biholomorphic mappings of the unit disk onto these domains: a criterion is obtained for a biholomorphic function to map the disk onto an $R$-convex domain.

Keywords: strongly convex analysis, $R$-convex domain, biholomorphic mappings of the disk.

UDC: 517.54

Received: 15.08.2013
Revised: 15.05.2014


 English version:
Siberian Mathematical Journal, 2014, 55:4, 715–720

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© Steklov Math. Inst. of RAS, 2024