On the existence of weighted boundary limits of harmonic functions
Annales de l'Institut Fourier, Tome 40 (1990) no. 4, pp. 811-833
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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.
On étudie l’existence de limites tangentielles sur le bord dans un domaine lipschitzien, pour des fonctions harmoniques des classes de Orlicz-Sobolev. L’ensemble exceptionnel est évalué par rapport aux capacités de Bessel et aux mesures de Hausdorff.
@article{AIF_1990__40_4_811_0,
author = {Mizuta, Yoshihiro},
title = {On the existence of weighted boundary limits of harmonic functions},
journal = {Annales de l'Institut Fourier},
pages = {811--833},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {40},
number = {4},
year = {1990},
doi = {10.5802/aif.1236},
mrnumber = {92g:31010},
zbl = {0715.31002},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/aif.1236/}
}
TY - JOUR AU - Mizuta, Yoshihiro TI - On the existence of weighted boundary limits of harmonic functions JO - Annales de l'Institut Fourier PY - 1990 SP - 811 EP - 833 VL - 40 IS - 4 PB - Institut Fourier PP - Grenoble UR - http://geodesic.mathdoc.fr/articles/10.5802/aif.1236/ DO - 10.5802/aif.1236 LA - en ID - AIF_1990__40_4_811_0 ER -
%0 Journal Article %A Mizuta, Yoshihiro %T On the existence of weighted boundary limits of harmonic functions %J Annales de l'Institut Fourier %D 1990 %P 811-833 %V 40 %N 4 %I Institut Fourier %C Grenoble %U http://geodesic.mathdoc.fr/articles/10.5802/aif.1236/ %R 10.5802/aif.1236 %G en %F AIF_1990__40_4_811_0
Mizuta, Yoshihiro. On the existence of weighted boundary limits of harmonic functions. Annales de l'Institut Fourier, Tome 40 (1990) no. 4, pp. 811-833. doi: 10.5802/aif.1236
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