CBMO estimates for multilinear Hardy operators

DOI10.1007/s10114-010-8603-8zbMath1202.42031OpenAlexW2053102226MaRDI QIDQ1956493

Fa You Zhao, Lu, Shanzhen

Publication date: 22 September 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-8603-8

zbMATH Keywords

Hardy operatorHerz spaceMorrey-Herz spacecentral BMO spacemultilinear

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (6)

A characterization of CMO˙q→ via the commutator of Hardy-type operators on mixed Herz spaces ⋮ Endpoint estimates for generalized commutators of Hardy operators on \(H^1\) space ⋮ CBMO estimates for some multilinear operators on mixed Herz spaces ⋮ Some estimates for commutators of Hausdorff operators ⋮ Boundedness for a class of generalized commutators of fractional Hardy operators with a rough kernel ⋮ Two new Lipschitz type spaces and their characterizations

Cites Work

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• Weak Lebesgue spaces and quantum mechanical binding
• The continuity of commutators on Herz-type spaces
• Sublinear operators with rough kernel on generalized Morrey spaces
• On the nonlinear wave equation \(u_{tt}-B(t,\|u_{x}\|^{2})u_{xx} = f(x,t,u,u_{x},u_{t})\) associated with the mixed homogeneous conditions
• Characterization for commutators of \(n\)-dimensional fractional Hardy operators
• Boundedness of rough singular integral operators on the homogeneous Morrey-Herz spaces
• CBMO estimates for commutators and multilinear singular integrals
• Best Constants for Two Nonconvolution Inequalities

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