Approximate tangents, harmonic measure, and domains with rectifiable boundaries

DOI10.1090/proc/15542zbMath1472.31009arXiv1602.00677OpenAlexW3135249291MaRDI QIDQ5002540

Mihalis Mourgoglou

Publication date: 28 July 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00677

zbMATH Keywords

harmonic measurerectifiabilityLipschitz domainsapproximate tangent planes

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Length, area, volume, other geometric measure theory (28A75) Hausdorff and packing measures (28A78) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (3)

Sets of absolute continuity for harmonic measure in NTA domains ⋮ Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries ⋮ Absolute continuity of harmonic measure for domains with lower regular boundaries

Cites Work

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• Weakly Differentiable Functions
• Boundary problems in the theory of univalent functions
• Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries
• Boundary behavior of a conformal mapping

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