Email this article Unique Determination of 3-Connected Plane Domains by Relative Conformal Moduli of Pairs of Boundary Components
- Authors: Kopylov A.P.1,2
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Affiliations:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Issue: Vol 231, No 2 (2018)
- Pages: 181-188
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241111
- DOI: https://doi.org/10.1007/s10958-018-3814-0
- ID: 241111
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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.
About the authors
A. P. Kopylov
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Author for correspondence.
Email: apkopylov@yahoo.com
Russian Federation, 4, Akad. Koptyuga pr., Novosibirsk, 630090; 1, Pirogova St., Novosibirsk, 630090
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