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

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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.

Original languageEnglish
Pages (from-to)181-188
Number of pages8
JournalJournal of Mathematical Sciences (United States)
Volume231
Issue number2
DOIs
Publication statusPublished - 1 May 2018

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