Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition

DOI10.1515/acv-2021-0053zbMath1529.31001arXiv2103.10046OpenAlexW3137225876WikidataQ114007285 ScholiaQ114007285MaRDI QIDQ6110514

Tatiana Toro, Murat Akman, José Maria Martell, Steven Hofmann

Publication date: 6 July 2023

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.10046

zbMATH Keywords

perturbationGreen functionCarleson measuresuniformly elliptic operatorssquare function estimatesreverse Höldernon-tangential maximal function estimatesdyadic analysiselliptic measureAhlfors-regularitycapacity density condition\(A_{\infty}\) Muckenhoupt weights1-sided chord-arc domains1-sided non-tangentially accessible domainssawtooth domains

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) Elliptic operators and their generalizations (47F10)

Related Items (2)

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

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