Some boundary increasing properties of harmonic functions in Lipschitz domain

被引：0

作者：

Zhang, YP ^{[1
]}

机构：

[1] WUHAN UNIV, DEPT MATH, WUHAN 430072, PEOPLES R CHINA

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 1996年 / 17卷 / 02期

关键词：

Martin representation; harmonic function; harmonic measure;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The object of this paper is to study the non-tangential increasing properties of positive harmonic function u in Lipschitz domain by means of Martin representation theory. A necessary and sufficient condition of the control of growth of u near any fixed boundary point is obtained. It is shown that the non-tangential increasing degree of u near a boundary point is exactly the local degree of its representation measure with respect to the harmonic measure. Some examples are given.

引用

页码：159 / 166

页数：8

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