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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 1633–1639
DOI: https://doi.org/10.33048/semi.2019.16.114 (Mi semr1156) 		 
Real, complex and functional analysis

On holomorphic self-mappings of the unit disk

V. N. Dubininab

a Far-Eastern Federal University, 8, Sukhanov str., Vladivostok, 690950, Russia
b Institute for Applied Mathematics, Far-Eastern Branch of the RAS 7, Radio str., Vladivostok, 690041, Russia
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DOI: https://doi.org/10.33048/semi.2019.16.114
Abstract: Using a symmetrization technique, we prove two distortion theorems for holomorphic mappings of the unit disk into itself taking into account the boundary behavior of these mappings.
Keywords: holomorphic functions, distortion theorems, symmetrization of condensers.
Received October 1, 2019, published November 15, 2019
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 30C25, 30C85
Language: English
Citation: V. N. Dubinin, “On holomorphic self-mappings of the unit disk”, Sib. Èlektron. Mat. Izv., 16 (2019), 1633–1639
Citation in format AMSBIB
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\by V.~N.~Dubinin
\paper On holomorphic self-mappings of the unit disk
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 1633--1639
\mathnet{http://mi.mathnet.ru/semr1156}
\crossref{https://doi.org/10.33048/semi.2019.16.114}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000496755800003}
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