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Sbornik: Mathematics, 2015, Volume 206, Issue 1, Pages 161–174
DOI: https://doi.org/10.1070/SM2015v206n01ABEH004451 (Mi sm8326) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Carathéodory domains and Rudin's converse of the maximum modulus principle

K. Yu. Fedorovskiyab

a N. E. Bauman Moscow State Technical University
b St. Petersburg State University, Department of Mathematics and Mechanics
English version PDF (486 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM2015v206n01ABEH004451
Abstract: We obtain extensions of the classical Rudin theorem on the converse of the maximum modulus principle from the unit disc to Carathéodory domains. The proofs are based on recent results about properties of conformal mappings of Carathéodory domains, which are also considered in the paper.
Bibliography: 18 titles.
Keywords: Carathéodory domain, maximum modulus principle, meromorphic functions, equality in the sense of conformal mappings.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00434
13-01-12430
Ministry of Education and Science of the Russian Federation НШ-2900.2014.1
1.2640.2014
Dynasty Foundation
The author was partially supported by the Russian Foundation for Basic Research (grant nos. 12-01-00434 and 13-01-12430), the Programme for the Support of Leading Scientific Schools of the Russian Federation (grant НШ-2900.2014.1), the Russian Ministry of Education and Science (project no. 1.2640.2014), and by Dmitry Zimin's "Dynasty" Foundation.
Received: 14.01.2014 and 24.10.2014
Russian version:
Matematicheskii Sbornik, 2015, Volume 206, Number 1, Pages 175–190
DOI: https://doi.org/10.4213/sm8326
Bibliographic databases:
Document Type: Article
UDC: 517.542+517.547.5
MSC: 30C80
Language: English
Original paper language: Russian
Citation: K. Yu. Fedorovskiy, “Carathéodory domains and Rudin's converse of the maximum modulus principle”, Mat. Sb., 206:1 (2015), 175–190; Sb. Math., 206:1 (2015), 161–174
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v206/i1/p175
    • This publication is cited in the following 1 articles:
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    References:72
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