Intrinsic Hölder continuity of harmonic functions

DOI10.1007/S11118-016-9604-8zbMath1379.31018arXiv1510.05800OpenAlexW2964140050MaRDI QIDQ2014388

Wolfhard Hansen

Publication date: 11 August 2017

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05800

zbMATH Keywords

harmonic functionHölder continuityLévy processright processbalayage space

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Axiomatic potential theory (31D05) Probabilistic potential theory (60J45) Potential theory on fractals and metric spaces (31E05)

Related Items (4)

Schauder estimates for equations associated with Lévy generators ⋮ Elliptic Harnack inequalities for symmetric non-local Dirichlet forms ⋮ Scaling invariant Harnack inequalities in a general setting ⋮ Interior Schauder estimates for elliptic equations associated with Lévy operators

Cites Work

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• Scaling invariant Harnack inequalities in a general setting
• A Hölder regularity theory for a class of non-local elliptic equations related to subordinate Brownian motions
• The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels
• Lectures on analysis on metric spaces
• Harnack inequalities for jump processes
• Potential theory. An analytic and probabilistic approach to balayage
• Analysis of jump processes with nondegenerate jumping kernels
• On Harnack inequality and Hölder regularity for isotropic unimodal Lévy processes
• Unavoidable sets and harmonic measures living on small sets

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