Boundedness of Hausdorff operators on Lebesgue spaces and Hardy spaces

DOI10.1007/S11425-017-9246-7zbMath1401.42005OpenAlexW2885688846MaRDI QIDQ1989894

Jiawei Dai, Jiecheng Chen, Fan, Dashan, Xiang Rong Zhu

Publication date: 29 October 2018

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

Full work available at URL: https://doi.org/10.1007/s11425-017-9246-7

zbMATH Keywords

moleculeHörmander conditionatomic characterizationCalderón-Zygmund convolution operator

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (13)

A characterization of CMO˙q→ via the commutator of Hardy-type operators on mixed Herz spaces ⋮ Sharp constants for \(q\)-analogue of Hausdorff operators on central \(q\)-Morrey spaces ⋮ Weighted Morrey-Herz space estimates for rough Hausdorff operator and its commutators ⋮ Weak and strong boundedness for \(p\)-adic fractional Hausdorff operator and its commutator ⋮ Bilinear pseudo-differential operators on product of weighted spaces ⋮ Boundedness of Hausdorff operators on real Hardy spaces \(H^{1}\) over locally compact groups ⋮ Estimates for the product weighted Hardy-Littlewood average and its commutator on product central Morrey spaces ⋮ The Hausdorff operator on weighted \(p\)-adic Morrey and Herz type spaces ⋮ Hausdorff operators on real Hardy spaces \(H^1\) over homogeneous spaces with local doubling property ⋮ On the description of multidimensional normal Hausdorff operators on Lebesgue spaces ⋮ Weak and strong estimates for linear and multilinear fractional Hausdorff operators on the Heisenberg group ⋮ Multilinear Hausdorff operators on weighted Herz and Morrey-Herz spaces with variable exponent ⋮ Two-weighted estimates for multilinear Hausdorff operators and commutators on stratified groups

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