Extremal decompositions of riemann surfaces and quasiconformal mappings of special form

被引：0

作者：

Emel’Yanov E.G. ^{[1
]}

机构：

[1] St.Petersburg University for Economics and Finances,

来源：

Journal of Mathematical Sciences | 2001年 / 105卷 / 4期

关键词：

Riemann Surface; Distinguished Point; Quasiconformal Mapping; Pluriharmonic Function; Extremal Decomposition;

D O I：

10.1023/A:1011381125425

中图分类号：

学科分类号：

摘要：

It is shown that the extremal decomposition of a finite Riemann surface ℛ into a system of doubly connected domains may be associated with a family of quasiconformal mappings ℛ → ℛ′, which are similar to the Teichmüller mappings. In the case ℛ = ℂ̄, this construction allows us to prove that the extremal value of the functional in the indicated problem on the extremal decomposition is a pluriharmonic function of the coordinates of the distinguished points on ℂ̄. © 2001 Plenum Publishing Corporation.

引用

页码：2190 / 2196

页数：6