Weighted Hardy spaces associated with elliptic operators. II: Characterizations of \(H^1_L(w)\)

DOI10.5565/PUBLMAT6221806zbMath1407.42011arXiv1701.00920MaRDI QIDQ1660534

Cruz Prisuelos-Arribas, José Maria Martell

Publication date: 16 August 2018

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.00920

zbMATH Keywords

Hardy spacesMuckenhoupt weightsmolecular decompositionoff-diagonal estimatesconical square functionsheat and Poisson semigroupsnon-tangential maximal functionsssecond order divergence form elliptic operators

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) One-parameter semigroups and linear evolution equations (47D06) Second-order elliptic equations (35J15) Integral operators (47G10) (H^p)-spaces (42B30) Harmonic analysis and PDEs (42B37)

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A partial differential equation characterization of anisotropic Hardy spaces ⋮ The regularity problem for degenerate elliptic operators in weighted spaces ⋮ Weak and strong type estimates for square functions associated with operators ⋮ The regularity problem for uniformly elliptic operators in weighted spaces ⋮ Weighted product Hardy space associated with operators ⋮ Weighted Hardy spaces associated with elliptic operators. III: Characterisations of \(H_{L}^{p}({w})\) and the weighted Hardy space associated with the Riesz transform

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