Singular Sets for Harmonic Measure on Locally Flat Domains with Locally Finite Surface Measure

DOI10.1093/imrn/rnw121zbMath1405.31009arXiv1501.07585OpenAlexW2963813833MaRDI QIDQ4611979

Xavier Tolsa, Jonas Azzam, Mihalis Mourgoglou

Publication date: 22 January 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.07585

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Potentials and capacities on other spaces (31C15)

Related Items

Rectifiability of harmonic measure ⋮ Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries ⋮ On harmonic measure and rectifiability in uniform domains ⋮ The two-phase problem for harmonic measure in VMO ⋮ Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension-one Hausdorff measure ⋮ Harmonic measure and quantitative connectivity: geometric characterization of the \(L^p\)-solvability of the Dirichlet problem ⋮ Absolute continuity of harmonic measure for domains with lower regular boundaries ⋮ Tangent measures of elliptic measure and applications ⋮ Quantitative absolute continuity of harmonic measure and the Dirichlet problem: a survey of recent progress ⋮ Elliptic measures and square function estimates on 1-sided chord-arc domains

This page was built for publication: Singular Sets for Harmonic Measure on Locally Flat Domains with Locally Finite Surface Measure