Polycondenser's capacity and the module of a family of vector measures

被引：0

作者：

Dymchenko Y.V. ^{[1
]}

Shlyk V.A. ^{[1
]}

机构：

[1] Far-Eastern State University, Vladivostock

来源：

Journal of Mathematical Sciences | 2010年 / 166卷 / 2期

关键词：

Russia; Early Result; Vector Measure;

D O I：

10.1007/s10958-010-9855-7

中图分类号：

学科分类号：

摘要：

The paper considers the capacity of a polycondenser and the module of a family of measures associated with the class of 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 associated with the class of functions admissible for the polycondenser's capacity is established. The results obtained generalize the earlier results by M. Ohtsuka and H. Aikawa. © 2010 Springer Science+Business Media, Inc.

引用

页码：155 / 161

页数：6

共 7 条

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[4] Ekland I., Temam R., Convex Analysis and Variational Problems, (1979)
[5] Aikawa H., Ohtsuka M., Extremal length of vector measures, Ann. Acad. Sci. Fenn. Ser. A., 24, pp. 61-88, (1999)
[6] Fuglede B., Extremal length and functional completion, Acta Math., 126, 3, pp. 171-219, (1957)
[7] Ohtsuka M., Extremal Length and Precise Functions, (2003)

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