BOUNDARY-BEHAVIOR OF SUBHARMONIC FUNCTIONS IN NONTANGENTIAL ACCESSIBLE DOMAINS

被引:3
|
作者
ZHAO, SY
机构
关键词
SUBHARMONIC FUNCTION; GREEN POTENTIAL; BOUNDARY LIMIT; NTA DOMAIN;
D O I
10.4064/sm-108-1-25-48
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The following results concerning boundary behavior of subharmonic functions in the unit ball of R(n) are generalized to nontangential accessible domains in the sense of Jerison and Kenig [7]: (i) The classical theorem of Littlewood on the radial limits. (ii) Ziomek's theorem on the L(p)-nontangential limits. (iii) The localized version of the above two results and nontangential limits of Green potentials under a certain nontangential condition.
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页码:25 / 48
页数:24
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