no. 4
On the existence of weighted boundary limits of harmonic functions
Annales de l'Institut Fourier, Tome 40 (1990) no. 4, pp. 811-833

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.

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     author = {Mizuta, Yoshihiro},
     title = {On the existence of weighted boundary limits of harmonic functions},
     journal = {Annales de l'Institut Fourier},
     pages = {811--833},
     year = {1990},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {40},
     number = {4},
     doi = {10.5802/aif.1236},
     mrnumber = {92g:31010},
     zbl = {0715.31002},
     language = {en},
     url = {https://www.numdam.org/articles/10.5802/aif.1236/}
}
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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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