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

Journal Article · · Journal of Mathematical Sciences
 [1]
  1. Sobolev Institute of Mathematics SB RAS (Russian Federation)

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.

OSTI ID:
22771211
Journal Information:
Journal of Mathematical Sciences, Vol. 231, 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); ISSN 1072-3374
Country of Publication:
United States
Language:
English