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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2009 Volume 371, Pages 56–68 (Mi znsl3544)

This article is cited in 1 paper

Capacity of polycondensor and the module of the family of vector measure

Yu. V. Dymchenko, V. A. Shlyk

Far Eastern National University, Vladivostok, Russia

Abstract: The paper considers the capacity of a polycondenser and the modules of families of measures related to curves connecting the polycondenser's plates. It is proved that these quantities are equal. Also a relation between the polycondenser's capacity and the module of a family of vector measures connected with a class of functions admissible for the polycondinser's capacity is established. The results obtained generalize the corresponding results by M. Ohtzuka and H. Aikava. Bibl. – 7 titles.

Key words and phrases: capacity, module, polycondencser, vector measure, curves, surfaces.

UDC: 517.5

Received: 08.10.2009


 English version:
Journal of Mathematical Sciences (New York), 2010, 166:2, 155–161

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