Weighted Modules and Capacities on a Riemann Surface
- Authors: Pugach P.A.1, Shlyk V.A.1
-
Affiliations:
- Vladivostok Branch of the Russian Customs Academy
- Issue: Vol 234, No 5 (2018)
- Pages: 701-736
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241984
- DOI: https://doi.org/10.1007/s10958-018-4038-z
- ID: 241984
Cite item
Abstract
On a Riemann surface (in the broad sense of the word in the terminology of Hurwitz–Courant), the weighted capacity and module (with a Muckenhoupt weight) of a condenser with a finite number of plates are defined. The equality of the capacity and module of a condenser is proved, which solves a Dubinin problem.
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