Abstract
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 $D$.
Citation
Krzysztof Michalik. Michał Ryznar. "Relative Fatou theorem for {$\alpha$}-harmonic functions in Lipschitz domains." Illinois J. Math. 48 (3) 977 - 998, Fall 2004. https://doi.org/10.1215/ijm/1258131065
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