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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
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
Citation:
V. N. Dubinin, “On holomorphic self-mappings of the unit disk”, Sib. Èlektron. Mat. Izv., 16 (2019), 1633–1639
Linking options:
https://www.mathnet.ru/eng/semr1156 https://www.mathnet.ru/eng/semr/v16/p1633
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Abstract page: | 287 | Full-text PDF : | 171 | References: | 33 |
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