Commutators of \(n\)-dimensional rough Hardy operators

DOI10.1007/s11425-010-4110-8zbMath1226.47050OpenAlexW2013402260MaRDI QIDQ547330

Zun Wei Fu, Lu, Shanzhen, Fa You Zhao

Publication date: 1 July 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4110-8

zbMATH Keywords

commutatorcentral BMO spacecentral Morrey space\(n\)-dimensional rough Hardy operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Integral operators (47G10)

Related Items (18)

Two characterizations of central BMO space via the commutators of Hardy operators ⋮ Endpoint estimates for generalized commutators of Hardy operators on \(H^1\) space ⋮ Weighted Morrey-Herz space estimates for rough Hausdorff operator and its commutators ⋮ A characterization of central BMO space via the commutator of fractional Hardy operator ⋮ Boundedness for commutators of rough \(p\)-adic fractional Hardy type operators ⋮ Hardy-type operators with rough kernels on central Morrey space with variable exponent ⋮ Weak and strong type estimates for the commutators of Hausdorff operators ⋮ Sharp bounds for m-linear Hilbert-type operators on the weighted Morrey spaces ⋮ Weighted estimates for commutators of \(n\)-dimensional rough Hardy operators ⋮ Endpoint estimates for fractional Hardy operators and their commutators on Hardy spaces ⋮ Boundedness for commutators of rough \(p\)-adic Hardy operator on \(p\)-adic central Morrey spaces ⋮ Boundedness for commutators of \(n\)-dimensional rough Hardy operators on Morrey-Herz spaces ⋮ Boundedness for a class of generalized commutators of fractional Hardy operators with a rough kernel ⋮ Hausdorff operators on Euclidean spaces ⋮ Weighted estimates for commutator of rough \(p\)-adic fractional Hardy operator on weighted \(p\)-adic Herz-Morrey spaces ⋮ Some new estimates for the commutators of \(n\)-dimensional Hausdorff operator ⋮ The boundedness of commutators of rough \(p\)-adic fractional Hardy type operators on Herz-type spaces ⋮ Compactness of the Commutators of Fractional Hardy Operator with Rough Kernel

Cites Work

• Unnamed Item
• Unnamed Item
• \(\lambda \)-central \(BMO\) estimates for commutators of singular integral operators with rough kernels
• Some new classes of Hardy spaces
• Notes on commutators on Herz-type spaces
• Spaces of bounded \(\lambda\)-central mean oscillation, Morrey spaces, and \(\lambda\)-central Carleson measures
• The decomposition of weighted Herz space on \(\mathbb{R}^ n\) and its applications
• Commutators of Hardy operators
• Construction and analysis of some convolution algebras
• Characterization for commutators of \(n\)-dimensional fractional Hardy operators
• Weighted Lebesgue and Lorentz Norm Inequalities for the Hardy Operator
• Weighted weak type Hardy inequalities with applications to Hilbert transforms and maximal functions
• The Littlewood-Paley function and φ-trans-form characterizations of a new Hardy space HK₂ associated with the Herz space
• Some characterizations of weighted Herz-type Hardy spaces and their applications
• Boundedness of the Hardy and the Hardy-Littlewood operators in the spaces $ \operatorname {Re}H^1$ and BMO
• Hardy Spaces and Beurling Algebras
• Best Constants for Two Nonconvolution Inequalities
• The local versions of $H^p(ℝ^n)$ spaces at the origin

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