Null sets of harmonic measure on NTA domains: Lipschitz approximation revisited

DOI10.1007/s00209-010-0795-1zbMath1251.28003arXiv1003.4547OpenAlexW2036271125MaRDI QIDQ663249

Matthew Badger

Publication date: 14 February 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4547

zbMATH Keywords

Hausdorff dimensionharmonic measureabsolute continuitycorkscrew conditionWolff snowflakebig pieces of Lipschitz graphsNTA domain

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

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Cites Work

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• Wolff snowflakes
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• Some remarks on harmonic measure in space
• Estimates of harmonic measure
• Free boundary regularity for harmonic measures and Poisson kernels
• Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions
• On the Distortion of Boundary Sets Under Conformal Mappings
• An identity with applications to harmonic measure
• Weighted norm inequalities for maximal functions and singular integrals
• On weak reverse hölder inequalities for nondoubling harmonic measures

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