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Carathéodory domains and Rudin's converse of the maximum modulus principle. / Fedorovskiy, K. Yu.

In: Sbornik Mathematics, Vol. 206, No. 1, 2015, p. 161-174.

Research output: Contribution to journal › Article › peer-review

Harvard

Fedorovskiy, KY 2015, 'Carathéodory domains and Rudin's converse of the maximum modulus principle', Sbornik Mathematics, vol. 206, no. 1, pp. 161-174. https://doi.org/10.1070/SM2015v206n01ABEH004451

APA

Fedorovskiy, K. Y. (2015). Carathéodory domains and Rudin's converse of the maximum modulus principle. Sbornik Mathematics, 206(1), 161-174. https://doi.org/10.1070/SM2015v206n01ABEH004451

Vancouver

Fedorovskiy KY. Carathéodory domains and Rudin's converse of the maximum modulus principle. Sbornik Mathematics. 2015;206(1):161-174. https://doi.org/10.1070/SM2015v206n01ABEH004451

Author

Fedorovskiy, K. Yu. / Carathéodory domains and Rudin's converse of the maximum modulus principle. In: Sbornik Mathematics. 2015 ; Vol. 206, No. 1. pp. 161-174.

BibTeX

@article{6e8c01d910ee49fab17aff003da0c9f5,
title = "Carath{\'e}odory domains and Rudin's converse of the maximum modulus principle",
abstract = "We obtain extensions of the classical Rudin theorem on the converse of the maximum modulus principle from the unit disc to Carath{\'e}odory domains. The proofs are based on recent results about properties of conformal mappings of Carath{\'e}odory domains, which are also considered in the paper.",
keywords = "Carath{\'e}odory domain, Equality in the sense of conformal mappings, Maximum modulus principle, Meromorphic functions",
author = "Fedorovskiy, {K. Yu}",
note = "Publisher Copyright: {\textcopyright} 2015 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.",
year = "2015",
doi = "10.1070/SM2015v206n01ABEH004451",
language = "English",
volume = "206",
pages = "161--174",
journal = "Sbornik Mathematics",
issn = "1064-5616",
publisher = "Turpion Ltd.",
number = "1",

}

RIS

TY - JOUR

T1 - Carathéodory domains and Rudin's converse of the maximum modulus principle

AU - Fedorovskiy, K. Yu

N1 - Publisher Copyright: © 2015 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Carathéodory domain

KW - Equality in the sense of conformal mappings

KW - Maximum modulus principle

KW - Meromorphic functions

UR - http://www.scopus.com/inward/record.url?scp=84925248292&partnerID=8YFLogxK

U2 - 10.1070/SM2015v206n01ABEH004451

DO - 10.1070/SM2015v206n01ABEH004451

M3 - Article

AN - SCOPUS:84925248292

VL - 206

SP - 161

EP - 174

JO - Sbornik Mathematics

JF - Sbornik Mathematics

SN - 1064-5616

IS - 1

ER -

ID: 86669489