Uniform rectifiability, Carleson measure estimates, and approximation of harmonic functions

DOI10.1215/00127094-3477128zbMath1359.28005arXiv1408.1447OpenAlexW3099636603MaRDI QIDQ335022

Svitlana Mayboroda, Steven Hofmann, José Maria Martell

Publication date: 2 November 2016

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1447

zbMATH Keywords

harmonic measure Carleson measures harmonic functions Poisson kernel square functions uniform rectifiability epsilon-approximability nontangential maximal functions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) 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) Harmonic analysis and PDEs (42B37)

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