Regularity of harmonic functions for anisotropic fractional Laplacians
Copyright policy )Regularity of harmonic functions for anisotropic fractional Laplacians
AbstractWe 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 (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Hölder continuity, Probability (math.PR), Transition functions, generators and resolvents, 47D03; 31C05; 60J35; 60G51, potential kernel, Processes with independent increments; Lévy processes, stable process, Harmonic, subharmonic, superharmonic functions on other spaces, Groups and semigroups of linear operators, harmonic function, Green function, 31C05, 60J35, FOS: Mathematics, Lévy measure, Mathematics - Probability, 60G51, 47D03
Hölder continuity, Probability (math.PR), Transition functions, generators and resolvents, 47D03; 31C05; 60J35; 60G51, potential kernel, Processes with independent increments; Lévy processes, stable process, Harmonic, subharmonic, superharmonic functions on other spaces, Groups and semigroups of linear operators, harmonic function, Green function, 31C05, 60J35, FOS: Mathematics, Lévy measure, Mathematics - Probability, 60G51, 47D03
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).22 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!