Boundedness of Hausdorff operators on Hardy spaces in the Heisenberg group

DOI10.1215/17358787-2018-0006OpenAlexW2809370904WikidataQ129633942 ScholiaQ129633942MaRDI QIDQ1790417

Zun Wei Fu, Qing Yan Wu

Publication date: 2 October 2018

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1529632824

zbMATH Keywords

Hardy spaceHeisenberg grouplocal Hardy spaceHausdorff operatorpower weight

Mathematics Subject Classification ID

Integral operators (47G10) Nilpotent and solvable Lie groups (22E25) (H^p)-spaces (42B30) Inequalities for sums, series and integrals (26D15)

Related Items (11)

Lower bound of Hausdorff operators on the power weighted Hardy spaces ⋮ Hausdorff operators associated with the Opdam-Cherednik transform in Lebesgue spaces ⋮ Boundedness and continuity of Marcinkiewicz integrals associated to homogeneous mappings on Triebel-Lizorkin spaces ⋮ Singular integral operators with rough kernels on central Morrey spaces with variable exponent ⋮ Boundedness of Hausdorff operators on real Hardy spaces \(H^{1}\) over locally compact groups ⋮ Sharp bounds for Hardy type operators on higher-dimensional product spaces ⋮ The Hausdorff operator on weighted \(p\)-adic Morrey and Herz type spaces ⋮ Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group ⋮ The weighted \(L^p\) and \(\text{BMO}\) estimates for 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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