Dirichlet solutions on bordered Riemann surfaces and quasiconformal mappings

被引：0
作者：
Hiroshige Shiga
机构：
[1] Tokyo Institute of Technology,Department of Mathematics
来源：
Journal d’Analyse Mathématique | 2004年 / 92卷
关键词：
Harmonic Function; Riemann Surface; Quasiconformal Mapping; Fuchsian Group; Ideal Boundary;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we consider quasiconformal homeomorphisms ϕn ;S0→Sn (n = 1, 2, ...) of a bordered Riemann surfaceS0 and discuss how the Dirichlet solutions\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$H_{fo\varphi n^{ - 1} }^{S_n } $$ \end{document} for a continuous functionf on ϖS0 vary when the maximal dilatations of ϕn converge to one. Furthermore, we consider the smoothness of Dirichlet solutions for parameters of the quasiconformal deformation.
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页码：117 / 135
页数：18
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