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

A. P. Kopylov

Presented by Academician Yu.G. Reshetnyak December 10, 2015

Received December 21, 2015

Abstract—The boundary values of conformal mappings of plane finitely connected domains are studied.
Acomplete description of the boundary values of such mappings in terms of the moduli (extremal lengths) of
pairs of boundary components of domains is obtained in the case where the number of boundary components
is not larger than three.

DOI: 10.1134/S1064562416030054


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