Email this article On 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, Siberian Branch
- Novosibirsk State University
- Issue: Vol 93, No 3 (2016)
- Pages: 262-263
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/223683
- DOI: https://doi.org/10.1134/S1064562416030054
- ID: 223683
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Abstract
The boundary values of conformal mappings of plane finitely connected domains are studied. A complete 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.
About the authors
A. P. Kopylov
Sobolev Institute of Mathematics, Siberian Branch; Novosibirsk State University
Author for correspondence.
Email: kopylov@math.nsc.ru
Russian Federation, pr. Akademika Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
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