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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 311, Pages 41–83
DOI: https://doi.org/10.4213/tm4151 (Mi tm4151) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Capacities on a Compact Riemann Surface

E. M. Chirka

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (483 kB) Citations (6)
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DOI: https://doi.org/10.4213/tm4151
Abstract: The properties of the capacity of condensers and capacities of compact sets on a compact Riemann surface are investigated. These properties generalize those of the corresponding objects in the complex plane. Discrete analogs of capacities are defined, and their convergence to the corresponding capacities of compact sets and condensers is proved.
Received: November 14, 2019
Revised: August 31, 2020
Accepted: September 23, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 311, Pages 36–77
DOI: https://doi.org/10.1134/S0081543820060048
Bibliographic databases:
Document Type: Article
UDC: 517.544+517.574+517.956.224
Language: Russian
Citation: E. M. Chirka, “Capacities on a Compact Riemann Surface”, Analysis and mathematical physics, Collected papers. On the occasion of the 70th birthday of Professor Armen Glebovich Sergeev, Trudy Mat. Inst. Steklova, 311, Steklov Math. Inst., Moscow, 2020, 41–83; Proc. Steklov Inst. Math., 311 (2020), 36–77
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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