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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 1, Pages 167–178 (Mi uzku1108)  
This article is cited in 1 scientific paper (total in 1 paper)

On the gradient of the conformal radius of a plane domain

L. A. Aksentyeva, A. N. Akhmetovab

a Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University
b Kazan State Technical University
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Abstract: This paper studies the quasi-conformality of domain mapping by the gradient of the conformal radius. It is proved that the gradient of the conformal radius realizes quasi-conformal mapping for domains with convex boundaries. For these domains we obtain new estimates of the quasi-conformality coefficient of the conformal radius gradient.
Keywords: quasi-conformal mapping, conformal radius, gradient of the conformal radius, convex domain.
Received: 07.07.2010
Revised: 08.12.2011
Document Type: Article
UDC: 517.546
Language: Russian
Citation: L. A. Aksentyev, A. N. Akhmetova, “On the gradient of the conformal radius of a plane domain”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154, no. 1, Kazan University, Kazan, 2012, 167–178
Citation in format AMSBIB
\Bibitem{AksAkh12}
\by L.~A.~Aksentyev, A.~N.~Akhmetova
\paper On the gradient of the conformal radius of a~plane domain
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2012
\vol 154
\issue 1
\pages 167--178
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1108}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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