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Title: Unique Determination of 3-Connected Plane Domains by Relative Conformal Moduli of Pairs of Boundary Components

Abstract

We study the boundary values of conformal mappings of plane finitely connected domains. We present a complete exposition of a theorem giving an exhaustive description of the boundary values of such mappings in terms of conformal moduli (extremal lengths) of pairs of boundary components of a domain of connectedness at most 3. Bibliography: 12 titles.

Authors:
 [1]
  1. Sobolev Institute of Mathematics SB RAS (Russian Federation)
Publication Date:
OSTI Identifier:
22771211
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 231; Journal Issue: 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; BOUNDARY-VALUE PROBLEMS; CONFORMAL INVARIANCE; CONFORMAL MAPPING; EQUATIONS; FINITE ELEMENT METHOD

Citation Formats

Kopylov, A. P., E-mail: apkopylov@yahoo.com. Unique Determination of 3-Connected Plane Domains by Relative Conformal Moduli of Pairs of Boundary Components. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3814-0.
Kopylov, A. P., E-mail: apkopylov@yahoo.com. Unique Determination of 3-Connected Plane Domains by Relative Conformal Moduli of Pairs of Boundary Components. United States. doi:10.1007/S10958-018-3814-0.
Kopylov, A. P., E-mail: apkopylov@yahoo.com. Tue . "Unique Determination of 3-Connected Plane Domains by Relative Conformal Moduli of Pairs of Boundary Components". United States. doi:10.1007/S10958-018-3814-0.
@article{osti_22771211,
title = {Unique Determination of 3-Connected Plane Domains by Relative Conformal Moduli of Pairs of Boundary Components},
author = {Kopylov, A. P., E-mail: apkopylov@yahoo.com},
abstractNote = {We study the boundary values of conformal mappings of plane finitely connected domains. We present a complete exposition of a theorem giving an exhaustive description of the boundary values of such mappings in terms of conformal moduli (extremal lengths) of pairs of boundary components of a domain of connectedness at most 3. Bibliography: 12 titles.},
doi = {10.1007/S10958-018-3814-0},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 2,
volume = 231,
place = {United States},
year = {2018},
month = {5}
}