ON THE EXISTENCE OF WEIGHTED BOUNDARY LIMITS OF HARMONIC-FUNCTIONS

被引：2

作者：

MIZUTA, Y ^{[1
]}

机构：

[1] HIROSHIMA UNIV,FAC INTEGRATED ARTS & SCI,DEPT MATH,HIROSHIMA 730,JAPAN

来源：

ANNALES DE L INSTITUT FOURIER | 1990年 / 40卷 / 04期

关键词：

HARMONIC FUNCTIONS; TANGENTIAL BOUNDARY LIMITS; BESSEL CAPACITY HAUSDORFF MEASURE;

D O I：

10.5802/aif.1236

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of tangential boundary limits for harmonic functions in a Lipschitz domain, which belong to Orlicz-Sobolev classes. The exceptional sets appearing in this discussion are evaluated by use of Bessel-type capacities as well as Hausdorff measures.

引用

页码：811 / 833

页数：23

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