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.
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页码：159 / 166
页数：8
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