Email this article Prime ends in the mapping theory on the Riemann surfaces
- Authors: Ryazanov V.1, Volkov S.1
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Affiliations:
- Institute of Applied Mathematics and Mechanics of the NAS of Ukraine
- Issue: Vol 227, No 1 (2017)
- Pages: 81-97
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/240093
- DOI: https://doi.org/10.1007/s10958-017-3575-1
- ID: 240093
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Abstract
The criteria for continuous and homeomorphic extensions to the boundary of mappings with finite distortion between domains on the Riemann surfaces by prime ends by Carath´eodory are proved.
About the authors
Vladimir Ryazanov
Institute of Applied Mathematics and Mechanics of the NAS of Ukraine
Author for correspondence.
Email: vl.ryazanov1@gmail.com
Ukraine, Slavyansk
Sergei Volkov
Institute of Applied Mathematics and Mechanics of the NAS of Ukraine
Email: vl.ryazanov1@gmail.com
Ukraine, Slavyansk
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