Liouville property, Wiener's test and unavoidable sets for hunt processes

DOI10.1007/S11118-015-9523-0zbMath1341.31006arXiv1409.7532OpenAlexW1954181210MaRDI QIDQ283427

Wolfhard Hansen

Publication date: 13 May 2016

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

Full work available at URL: https://arxiv.org/abs/1409.7532

zbMATH Keywords

Liouville propertybalayage spacehunt processWiener criterion

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Brownian motion (60J65) Axiomatic potential theory (31D05) Probabilistic potential theory (60J45) Potentials and capacities on other spaces (31C15)

Related Items (3)

Intrinsic Hölder continuity of harmonic functions ⋮ Scaling invariant Harnack inequalities in a general setting ⋮ On Evans' and Choquet's theorems for polar sets

Cites Work

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• Convexity properties of harmonic measures
• Lectures on analysis on metric spaces
• Potential theory. An analytic and probabilistic approach to balayage
• On Harnack inequality and Hölder regularity for isotropic unimodal Lévy processes
• Uniform boundary Harnack principle and generalized triangle property
• Unavoidable collections of balls for isotropic Lévy processes
• Unavoidable collections of balls for processes with isotropic unimodal Green function
• Unavoidable sets and harmonic measures living on small sets
• Champagne subregions of the unit ball with unavoidable bubbles
• Quasiadditivity and measure property of capacity and the tangential boundary behavior of harmonic functions

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