Perturbations of elliptic operators in 1-sided chord-arc domains. Part II: Non-symmetric operators and Carleson measure estimates

DOI10.1090/tran/8148zbMath1453.31011arXiv1908.02268OpenAlexW3011463091MaRDI QIDQ5130409

Tatiana Toro, Juan Cavero, Steven Hofmann, José Maria Martell

Publication date: 4 November 2020

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

Full work available at URL: https://arxiv.org/abs/1908.02268

zbMATH Keywords

Carleson measuresPoisson kernel\(A_\infty\) Muckenhoupt weightselliptic measure

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Maximal functions, Littlewood-Paley theory (42B25) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic analysis in several variables (42B99) Green's functions for elliptic equations (35J08) Harmonic analysis and PDEs (42B37)

Related Items (9)

Generalized Carleson perturbations of elliptic operators and applications ⋮ On the condition for elliptic operators in 1-sided nontangentially accessible domains satisfying the capacity density condition ⋮ Perturbation of elliptic operators in 1-sided NTA domains satisfying the capacity density condition ⋮ Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition ⋮ Carleson perturbations for the regularity problem ⋮ Carleson perturbations of elliptic operators on domains with low dimensional boundaries ⋮ Perturbations of elliptic operators in 1-sided chord-arc domains. Part I: Small and large perturbation for symmetric operators ⋮ Uniform rectifiability and elliptic operators satisfying a Carleson measure condition ⋮ Elliptic measures and square function estimates on 1-sided chord-arc domains

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