Email this article Condensers and Equivalent Open Sets on a Riemann Surface
- Authors: Pugach P.A.1, Shlyk V.A.1
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Affiliations:
- Vladivostok Branch of the Russian Customs Academy
- Issue: Vol 225, No 6 (2017)
- Pages: 994-1011
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/239892
- DOI: https://doi.org/10.1007/s10958-017-3511-4
- ID: 239892
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Abstract
Condensers on the compact closure of an open set on a Riemann surface are studied. The equality of the condenser capacity and module is proved. The definition of NED-sets on a Riemann surface is given, and it is proved that the NED-sets do not affect the condenser module. Also a criterion of equivalence of open sets on a Riemann surface is established.
About the authors
P. A. Pugach
Vladivostok Branch of the Russian Customs Academy
Author for correspondence.
Email: 679097@mail.ru
Russian Federation, Vladivostok
V. A. Shlyk
Vladivostok Branch of the Russian Customs Academy
Email: 679097@mail.ru
Russian Federation, Vladivostok
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