Uniform rectifiability and elliptic operators satisfying a Carleson measure condition

DOI10.1007/s00039-021-00566-4zbMath1473.35165arXiv2008.04834OpenAlexW3161469869MaRDI QIDQ2041864

Svitlana Mayboroda, Zihui Zhao, Tatiana Toro, Steven Hofmann, José Maria Martell

Publication date: 26 July 2021

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.04834

zbMATH Keywords

rectifiabilityuniform domainelliptic measure\(A_{\infty }\) classexterior corkscrew

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Connections of harmonic functions with differential equations in higher dimensions (31B35) Harmonic analysis and PDEs (42B37)

Related Items (13)

Generalized Carleson perturbations of elliptic operators and applications ⋮ Carleson measure estimates and \(\varepsilon\)-approximation for bounded harmonic functions, without Ahlfors regularity assumptions ⋮ Carleson estimates for the Green function on domains with lower dimensional boundaries ⋮ On the condition for elliptic operators in 1-sided nontangentially accessible domains satisfying the capacity density condition ⋮ Small 𝐴_{∞} results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries ⋮ The Green function with pole at infinity applied to the study of the elliptic measure ⋮ A Green function characterization of uniformly rectifiable sets of any codimension ⋮ Regularity and Neumann problems for operators with real coefficients satisfying Carleson conditions ⋮ The regularity problem in domains with lower dimensional boundaries ⋮ Good elliptic operators on Cantor sets ⋮ Elliptic measures and square function estimates on 1-sided chord-arc domains ⋮ Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions ⋮ Carleson measure estimates for the Green function

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