Regularity of harmonic functions for ani
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PaweΕ Sztonyk
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Article
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2010
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John Wiley and Sons
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English
β 230 KB
## Abstract We prove that bounded harmonic functions of anisotropic fractional Laplacians are HΓΆlder continuous under mild regularity assumptions on the corresponding LΓ©vy measure. Under some stronger assumptions the Green function, Poisson kernel and the harmonic functions are even differentiable