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Biholomorphic mappings of the disk onto strongly convex domains

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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.

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Authors and Affiliations

  1. Petrozavodsk State University, Petrozavodsk, Russia

    V. V. Starkov & N. A. Shmelev

Authors
  1. V. V. Starkov
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  2. N. A. Shmelev
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Correspondence to V. V. Starkov.

Additional information

Original Russian Text Copyright © 2014 Starkov V.V. and Shmelev N.A.

The authors were supported by the Program of Strategic Development of Petrozavodsk State University. The first author was supported by the Russian Foundation for Basic Research (Grants 14-01-00510 and 14-01-92692.) Petrozavodsk.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 4, pp. 875–881, July–August, 2014.

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Starkov, V.V., Shmelev, N.A. Biholomorphic mappings of the disk onto strongly convex domains. Sib Math J 55, 715–720 (2014). https://doi.org/10.1134/S0037446614040132

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  • DOI: https://doi.org/10.1134/S0037446614040132

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