Harmonic measure and approximation of uniformly rectifiable sets

DOI10.4171/RMI/940zbMath1371.28002arXiv1505.01503MaRDI QIDQ520727

Simon Bortz, Steven Hofmann

Publication date: 5 April 2017

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01503

zbMATH Keywords

harmonic measureCarleson measuresuniform rectifiabilitychord-arcNTA

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Length, area, volume, other geometric measure theory (28A75) Hausdorff and packing measures (28A78)

Related Items (6)

Carleson measure estimates and \(\varepsilon\)-approximation for bounded harmonic functions, without Ahlfors regularity assumptions ⋮ Uniform rectifiability from Carleson measure estimates and {\(\epsilon\)}-approximability of bounded harmonic functions ⋮ Coronizations and big pieces in metric spaces ⋮ Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries ⋮ On harmonic measure and rectifiability in uniform domains ⋮ Harmonic measure and Riesz transform in uniform and general domains

Cites Work

• Unnamed Item
• A new characterization of chord-arc domains
• Harmonic measure and arclength
• Carleson measures, trees, extrapolation, and \(T(b)\) theorems
• Hard Sard: quantitative implicit function and extension theorems for Lipschitz maps
• On weak reverse hölder inequalities for nondoubling harmonic measures
• Extrapolation of Carleson measures and the analyticity of Kato's square-root operators.

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