Boundary Harnack principle and Martin boundary for a uniform domain

被引：83

作者：

Aikawa, H ^{[1
]}

机构：

[1] Shimane Univ, Dept Math, Matsue, Shimane 6908504, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2001年 / 53卷 / 01期

关键词：

boundary Harnack principle; Martin boundary; Green function; harmonic measure;

D O I：

10.2969/jmsj/05310119

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a uniform boundary Harnack principle for a uniform domain. As applications we study the Holder continuity of the ratios of positive harmonic functions, the Martin boundary and the Fatou theorem for a uniform domain.

引用

页码：119 / 145

页数：27

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