Boundedness of commutators of high-dimensional Hausdorff operators

DOI10.1155/2012/541205zbMath1257.47036OpenAlexW2136756354WikidataQ58908306 ScholiaQ58908306MaRDI QIDQ416331

Houyu Jia, Guilian Gao

Publication date: 10 May 2012

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/541205

zbMATH Keywords

boundednesscommutatorsHausdorff operators

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) (H^p)-spaces (42B30)

Related Items (7)

Rough Hausdorff operators on Lebesgue spaces with variable exponent ⋮ Some weighted inequalities for Hausdorff operators and commutators ⋮ Some estimates for commutators of Hausdorff operators ⋮ Best constants for Hausdorff operators on \(n\)-dimensional product spaces ⋮ Hausdorff operators on Euclidean spaces ⋮ Some new estimates for the commutators of \(n\)-dimensional Hausdorff operator ⋮ Two-weighted estimates for multilinear Hausdorff operators and commutators on stratified groups

Cites Work

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• Hausdorff operators on function spaces
• Sublinear operators with rough kernel on generalized Morrey spaces
• Commutators of Hardy operators
• Weighted Lorentz spaces and the Hardy operator
• Characterization for commutators of \(n\)-dimensional fractional Hardy operators
• Boundedness of the Hausdorff operators in H^pspaces, 0<p<1
• Weighted Lebesgue and Lorentz Norm Inequalities for the Hardy Operator
• Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss
• Best Constants for Two Nonconvolution Inequalities
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Multidimensional Hausdorff operators on the real Hardy space

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