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

共 50 条

[1] FINE BOUNDARY LIMITS OF FINELY HARMONIC-FUNCTIONS
HANSEN, W
MATHEMATISCHE ANNALEN, 1986, 274 (04) : 643 - 647
[2] HARMONIC-FUNCTIONS SATISFYING WEIGHTED SIGN CONDITIONS ON THE BOUNDARY
BAOUENDI, MS
ROTHSCHILD, LP
ANNALES DE L INSTITUT FOURIER, 1993, 43 (05) : 1311 - 1318
[3] ON THE BOUNDARY LIMITS OF HARMONIC-FUNCTIONS WITH GRADIENT IN L(P)
MIZUTA, Y
ANNALES DE L INSTITUT FOURIER, 1984, 34 (01) : 99 - 109
[4] EXISTENCE OF RADIAL LIMITS OF HARMONIC-FUNCTIONS IN BANACH-SPACES
BU, SQ
CHINESE ANNALS OF MATHEMATICS SERIES B, 1992, 13 (01) : 110 - 118
[5] ON THE EXISTENCE OF HARMONIC-FUNCTIONS IN LP
QUI, BH
MIZUTA, Y
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1981, 33 (03) : 505 - 507
[6] HARMONIC-FUNCTIONS HAVING NO TANGENTIAL LIMITS
AIKAWA, H
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 108 (02) : 457 - 464
[7] INFINITE NONTANGENTIAL LIMITS OF HARMONIC-FUNCTIONS
KULIEV, EA
MATHEMATICAL NOTES, 1991, 50 (3-4) : 932 - 935
[8] HARMONIC-FUNCTIONS AND FINELY HARMONIC-FUNCTIONS
FUGLEDE, B
ANNALES DE L INSTITUT FOURIER, 1974, 24 (04) : 77 - 91
[9] GROWTH OF HARMONIC-FUNCTIONS NEAR A BOUNDARY
GAIDENKO, SV
DIFFERENTIAL EQUATIONS, 1985, 21 (05) : 557 - 561
[10] BOUNDARY ESTIMATES FOR DERIVATIVES OF HARMONIC-FUNCTIONS
BEATROUS, F
STUDIA MATHEMATICA, 1991, 98 (01) : 53 - 71

← 1 2 3 4 5 →