Remarks on $\mathrm {\mathbf A}_p$-regular lattices of measurable functions

DOI10.1090/spmj/1418zbMath1346.42027OpenAlexW2520478828MaRDI QIDQ2817036

Dmitry V. Rutsky

Publication date: 29 August 2016

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1418

zbMATH Keywords

Banach latticesCalderón-Zygmund operatorsHardy-Littlewood maximal operatorBMO-regularity\(A_p\)-regularity

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Banach lattices (46B42)

Related Items (4)

Vector-valued boundedness of harmonic analysis operators ⋮ Corona theorem and interpolation ⋮ Corrigendum to “$\mathbf A_1$-regularity and boundedness of Calderón–Zygmund operators” with some remarks (Studia Math. 221 (2014), 231–247) ⋮ Real interpolation of Hardy-type spaces and BMO-regularity

Cites Work

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• Unions of Lebesgue spaces and \(A_1\) majorants
• Weighted Calderón-Zygmund decomposition with some applications to interpolation
• A remark on an interpolational theorem of Calderon
• Classical Banach spaces. 1: Sequence spaces. 2. Function spaces.
• Linear Operators in Banach Lattices and WeightedL2 Inequalities
• Complex Interpolation of Hardy-Type Subspaces
• BMO-regularity in lattices of measurable functions on spaces of homogeneous type
• A₁-regularity and boundedness of Calderón–Zygmund operators

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