Regularity of harmonic functions for anisotropic fractional Laplacian

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dc.creatorSztonyk, Paweł
dc.date2007-06-04
dc.date.accessioned2026-07-07T08:04:02Z
dc.date.available2026-07-07T08:04:02Z
dc.descriptionWe prove that bounded harmonic functions of anisotropic fractional Laplacians are Hölder continuous under mild regularity assumptions on the corresponding Lévy measure. Under some stronger assumptions the Green function, Poisson kernel and the harmonic functions are even differentiable of order up to three.
dc.description36 pages
dc.identifierhttps://arxiv.org/abs/0706.0413
dc.identifierhttp://arxiv.org/abs/0706.0413
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129803
dc.subjectProbability
dc.subject47D03; 31C05; 60J35; 60G51
dc.titleRegularity of harmonic functions for anisotropic fractional Laplacian
dc.typetext

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