Relative Fatou theorem for {$\alpha$}-harmonic functions in Lipschitz domains
Michalik, Krzysztof ; Ryznar, Michał
Illinois J. Math., Tome 48 (2004) no. 3, p. 977-998 / Harvested from Project Euclid
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We prove a relative Fatou theorem for $\alpha$-harmonic functions on bounded Lipschitz domains $D$ that vanish outside $D$. We also discuss the case when the normalizing function corresponds to the Hausdorff measure on the boundary of $D$.
Publié le : 2004-07-15
Classification:  31B25,  60J45 
@article{1258131065,
     author = {Michalik, Krzysztof and Ryznar, Micha\l },
     title = {Relative Fatou theorem for {$\alpha$}-harmonic functions in Lipschitz domains},
     journal = {Illinois J. Math.},
     volume = {48},
     number = {3},
     year = {2004},
     pages = { 977-998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258131065}
}

Michalik, Krzysztof; Ryznar, Michał. Relative Fatou theorem for {$\alpha$}-harmonic functions in Lipschitz domains. Illinois J. Math., Tome 48 (2004) no. 3, pp.  977-998. http://gdmltest.u-ga.fr/item/1258131065/