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Dal'nevostochnyi Matematicheskii Zhurnal, 2013, Volume 13, Number 2, Pages 196–208 (Mi dvmg263)  
This article is cited in 3 scientific papers (total in 3 papers)

Generalized condensers and boundary distortion theorems for conformal mappings

V. N. Dubininab, V. Yu. Kima

a Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
Full-text PDF (154 kB) Citations (3)
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Abstract: In this paper we prove some boundary distortion theorems for the univalent holomorphic functions in the unit disk by the potential theory. In particular, the discrete analogs of the classical statements on the behavior of the logarithmic capacity of the boundary sets under conformal mappings are established.
Key words: condensers, conformal capacity, meromorphic functions, univalent functions, boundary distortion, angular derivative.
Received: 14.05.2013
Document Type: Article
UDC: 517.54
MSC: Primary 30C85; Secondary 30C75
Language: Russian
Citation: V. N. Dubinin, V. Yu. Kim, “Generalized condensers and boundary distortion theorems for conformal mappings”, Dal'nevost. Mat. Zh., 13:2 (2013), 196–208
Citation in format AMSBIB
\Bibitem{DubKim13}
\by V.~N.~Dubinin, V.~Yu.~Kim
\paper Generalized condensers and boundary distortion theorems for conformal mappings
\jour Dal'nevost. Mat. Zh.
\yr 2013
\vol 13
\issue 2
\pages 196--208
\mathnet{http://mi.mathnet.ru/dvmg263}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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