On the existence of weighted boundary limits of harmonic functions
Annales de l'Institut Fourier, Tome 40 (1990) no. 4, p. 811-833
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.
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.
@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},
     publisher = {Imprimerie Durand},
     address = {28 - Luisant},
     volume = {40},
     number = {4},
     year = {1990},
     pages = {811-833},
     doi = {10.5802/aif.1236},
     zbl = {0715.31002},
     mrnumber = {92g:31010},
     language = {en},
     url = {http://http://www.numdam.org/item/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. http://www.numdam.org/item/AIF_1990__40_4_811_0/

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