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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 5, Pages 1078–1090
(Mi smj2589)
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This article is cited in 3 scientific papers (total in 3 papers)
On the reduced modulus of the complex sphere
V. N. Dubininab a Institute of Applied Mathematics, Vladivostok, Russia
b Far-Eastern Federal University, Vladivostok, Russia
Abstract:
The notion of reduced modulus of the Riemann sphere with respect to a collection of finite points is extended to the case when the condenser plates are arbitrary continua contracting to these points. It is demonstrated that the reduced modulus is independent of the form of degenerate condenser plates. The reduced modulus was considered earlier in the case when the condenser plates are elements of families of almost disks with fixed centers.
Keywords:
reduced modulus, condenser, capacity of a condenser, logarithmic capacity.
Received: 01.04.2014
Citation:
V. N. Dubinin, “On the reduced modulus of the complex sphere”, Sibirsk. Mat. Zh., 55:5 (2014), 1078–1090; Siberian Math. J., 55:5 (2014), 882–892
Linking options:
https://www.mathnet.ru/eng/smj2589 https://www.mathnet.ru/eng/smj/v55/i5/p1078
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Statistics & downloads: |
Abstract page: | 387 | Full-text PDF : | 74 | References: | 65 | First page: | 19 |
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