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Matematicheskie Zametki, 2023, Volume 113, Issue 6, Pages 827–835
DOI: https://doi.org/10.4213/mzm13808 (Mi mzm13808) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Boundary Distortion and the Schwarzian Derivative of a Univalent Function in a Circular Annulus

V. N. Dubininab

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.4213/mzm13808
Abstract: New distortion theorems are proved for holomorphic univalent functions bounded in a circular annulus and preserving one of its boundary components. In particular, inequalities including the Schwarzian derivative at a boundary point of the annulus are established. All results follow from the properties of the conformal capacity of condensers and symmetrization.
Keywords: univalent function, angular derivative, Schwarzian derivative, condenser capacity, symmetrization.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-281
This research was supported by the Mathematical Center in Akademgorodok under agreement no. 075-15-2022-281 of 05.04.2022 with the Ministry of Science and Higher Education of the Russian Federation.
Received: 10.11.2022
English version:
Mathematical Notes, 2023, Volume 113, Issue 6, Pages 776–783
DOI: https://doi.org/10.1134/S000143462305019X
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 30C75; 30C85
Language: Russian
Citation: V. N. Dubinin, “Boundary Distortion and the Schwarzian Derivative of a Univalent Function in a Circular Annulus”, Mat. Zametki, 113:6 (2023), 827–835; Math. Notes, 113:6 (2023), 776–783
Citation in format AMSBIB
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\by V.~N.~Dubinin
\paper Boundary Distortion and the Schwarzian Derivative of a Univalent Function in a Circular Annulus
\jour Mat. Zametki
\yr 2023
\vol 113
\issue 6
\pages 827--835
\mathnet{http://mi.mathnet.ru/mzm13808}
\crossref{https://doi.org/10.4213/mzm13808}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4602441}
\transl
\jour Math. Notes
\yr 2023
\vol 113
\issue 6
\pages 776--783
\crossref{https://doi.org/10.1134/S000143462305019X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85162126785}
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    • This publication is cited in the following 1 articles:
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