Convexity properties of harmonic measures

DOI10.1016/j.aim.2008.03.009zbMath1146.31006arXivmath/0608268OpenAlexW1992977001WikidataQ116636557 ScholiaQ116636557MaRDI QIDQ927682

Ivan Netuka, Wolfhard Hansen

Publication date: 9 June 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608268

zbMATH Keywords

Harnack inequalitybalayageBrownian motionGreen functionstable processRiesz potentialsub-Laplaciandoubling propertyextremal measureharmonic spaceJensen measurecapacity densitySkorokhod stopping

Mathematics Subject Classification ID

Brownian motion (60J65) Degenerate elliptic equations (35J70) Fine potential theory; fine properties of sets and functions (31C40) Axiomatic potential theory (31D05) Probabilistic potential theory (60J45) Second-order elliptic equations (35J15) Stable stochastic processes (60G52) Capacity and harmonic measure in the complex plane (30C85) Convex sets in topological linear spaces; Choquet theory (46A55) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (6)

Liouville property, Wiener's test and unavoidable sets for hunt processes ⋮ Density of extremal measures in parabolic potential theory ⋮ On the existence of Evans potentials ⋮ Unavoidable sets and harmonic measures living on small sets ⋮ Harmonic measures for a point may form a square ⋮ On the distribution of zero sets of holomorphic functions. III: Converse theorems

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