INTEGRABILITY OF SUPERHARMONIC FUNCTIONS AND SUBHARMONIC FUNCTIONS

被引：18
作者：
AIKAWA, H
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 120卷 / 01期
关键词：
SUPERHARMONIC FUNCTION; SUBHARMONIC FUNCTION; GREEN FUNCTION; COAREA FORMULA;
D O I：
10.2307/2160174
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We apply the coarea formula to obtain integrability of superharmonic functions and nonintegrability of subharmonic functions. The results involve the Green function. For a certain domain, say Lipschitz domain, we estimate the Green function and restate the results in terms of the distance from the boundary.
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收藏
页码：109 / 117
页数：9
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