BMO solvability and absolute continuity of harmonic measure

DOI10.1007/s12220-017-9959-0zbMath1405.42032arXiv1607.00418OpenAlexW2963549905MaRDI QIDQ1711052

Phi Le, Steven Hofmann

Publication date: 16 January 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00418

zbMATH Keywords

Dirichlet problemBMOharmonic measureuniform rectifiabilitydivergence form elliptic equationsAhlfors-David regularityweak-\(A_\infty \)

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)

Related Items

Uniform rectifiability implies Varopoulos extensions, Uniform rectifiability from Carleson measure estimates and {\(\epsilon\)}-approximability of bounded harmonic functions, Dirichlet problem for Schrödinger equation with the boundary value in the BMO space, BMO solvability and \(A_\infty\) condition of the elliptic measures in uniform domains, On the condition for elliptic operators in 1-sided nontangentially accessible domains satisfying the capacity density condition, Harmonic functions with BMO traces and their limiting behaviors on metric measure spaces, Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets, Elliptic measures for Dahlberg-Kenig-Pipher operators: asymptotically optimal estimates, Harmonic measure and quantitative connectivity: geometric characterization of the \(L^p\)-solvability of the Dirichlet problem, A weak reverse Hölder inequality for caloric measure, Quantitative absolute continuity of harmonic measure and the Dirichlet problem: a survey of recent progress

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