Moduli, capacity, BV-functions on the Riemann surfaces
- 作者: Pugach P.1, Shlyk V.1
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隶属关系:
- Department of Computer Science and Customs Information Technologies
- 期: 卷 38, 编号 2 (2017)
- 页面: 338-351
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199070
- DOI: https://doi.org/10.1134/S1995080217020172
- ID: 199070
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详细
Let R is a Riemann surface, glued from finitely or countably many domains in the extended complex plane so that the following conditions are satisfied: each point in R projects onto a point w = prW in one on the glued domains, each point in R has a neighbourhood which is a univalent disk, or multivalent disk with the unique ramification point at the centre of disk. We study elementary properties of functions of bounded variation and sets of finite perimeter in an open set Q ⊂ R {W ∈ R: W is a ramification point or prW = ∞}. Further, by using Ziemer’s technique, we obtain the main result
作者简介
P. Pugach
Department of Computer Science and Customs Information Technologies
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Email: 679097@mail.ru
俄罗斯联邦, ul. Strelkovaya 16B, Vladivostok, 690034
V. Shlyk
Department of Computer Science and Customs Information Technologies
Email: 679097@mail.ru
俄罗斯联邦, ul. Strelkovaya 16B, Vladivostok, 690034