Some boundary Harnack principles with uniform constants

DOI10.1007/s11118-021-09922-3zbMath1502.60118OpenAlexW3154064601MaRDI QIDQ2172612

Martin T. Barlow, Deniz Karlı

Publication date: 16 September 2022

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

Full work available at URL: https://doi.org/10.1007/s11118-021-09922-3

zbMATH Keywords

Harnack inequalityBrownian motionboundary Harnack principleharmonic functions

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Probabilistic methods for one variable harmonic analysis (42A61)

Cites Work

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• Martin boundary points of a John domain and unions of convex sets
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• The growth exponent for planar loop-erased random walk
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• A boundary Harnack principle in twisted Hölder domains
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• Principle de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique dans un domaine lipschitzien
• Estimates of harmonic measure
• Estimates and structure of \(\alpha\)-harmonic functions
• Equivalence between the boundary Harnack principle and the Carleson estimate
• Brownian Motion
• Boundary Harnack principle and Martin boundary for a uniform domain

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