We study nonnegative functions which are harmonic on a Lipschitz domain with respect to symmetric stable processes. We prove that if two such functions vanish continuously outside the domain near a part of its boundary, then their ratio is bounded near this part of the boundary.
@article{bwmeta1.element.bwnjournal-article-smv123i1p43bwm,
author = {Krzysztof Bogdan},
title = {The boundary Harnack principle for the fractional Laplacian},
journal = {Studia Mathematica},
volume = {122},
year = {1997},
pages = {43-80},
zbl = {0870.31009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv123i1p43bwm}
}
Bogdan, Krzysztof. The boundary Harnack principle for the fractional Laplacian. Studia Mathematica, Tome 122 (1997) pp. 43-80. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv123i1p43bwm/
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