Multidimensional Hausdorff operators and commutators on Herz-type spaces

DOI10.1186/1029-242X-2013-594zbMath1297.26053WikidataQ59300630 ScholiaQ59300630MaRDI QIDQ2250589

Amjad Hussain, Guilian Gao

Publication date: 8 July 2014

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

zbMATH Keywords

commutatorsLipschitz functionsHausdorff operatorsHerz-type spaces

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Inequalities for sums, series and integrals (26D15) Harmonic analysis in several variables (42B99)

Related Items (10)

On two-weight inequalities for Hausdorff operators of special kind in Lebesgue spaces ⋮ Estimates for commutators of bilinear fractional \(p\)-adic Hardy operator on Herz-type spaces ⋮ Hausdorff operators on Morrey-type spaces ⋮ Weighted Morrey-Herz space estimates for rough Hausdorff operator and its commutators ⋮ Some weighted inequalities for Hausdorff operators and commutators ⋮ Weak and strong boundedness for \(p\)-adic fractional Hausdorff operator and its commutator ⋮ Some results for the commutators of generalized Hausdorff operator ⋮ Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group ⋮ The boundedness of commutators of rough \(p\)-adic fractional Hardy type operators on Herz-type spaces ⋮ Two-weighted estimates for multilinear Hausdorff operators and commutators on stratified groups

Cites Work

• Unnamed Item
• Unnamed Item
• Weighted Hardy-Littlewood operators and commutators on \(p\)-adic functional spaces
• Sharp estimates of \(m\)-linear \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators
• Hausdorff operators on function spaces
• Estimates of weighted Hardy--Littlewood averages on the \(p\)-adic vector space
• Factorization theorems for Hardy spaces in several variables
• Sublinear operators with rough kernel on generalized Morrey spaces
• Multilinear Hausdorff operators and their best constants
• Characterization for commutators of \(n\)-dimensional fractional Hardy operators
• The multi-parameter Hausdorff Operator is bounded on the product Hardy Space H11(R x R)
• The Hausdorff operators on the real Hardy spaces H^p(R)
• Commutators of weighted Hardy operators on Herz-type spaces
• Boundedness of the Hausdorff operators in H^pspaces, 0<p<1
• Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• \(L^p\) and BMO bounds of weighted Hardy-Littlewood averages

This page was built for publication: Multidimensional Hausdorff operators and commutators on Herz-type spaces