Boundedness of Hausdorff operators on real Hardy spaces \(H^{1}\) over locally compact groups

DOI10.1016/j.jmaa.2018.12.065zbMath1431.43006arXiv1808.08257OpenAlexW2963212195WikidataQ128637377 ScholiaQ128637377MaRDI QIDQ1733802

Xianqiang Yang

Publication date: 21 March 2019

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

Full work available at URL: https://arxiv.org/abs/1808.08257

zbMATH Keywords

Hardy spaceHeisenberg groupCesàro operatorspace of homogeneous typehomogeneous groupHausdorff operator

Mathematics Subject Classification ID

(H^p)-spaces (42B30) Compact groups (22C05) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (18)

A Hausdorff operator with commuting family of perturbation matrices is a non-Riesz operator ⋮ Hausdorff operators on compact abelian groups ⋮ On the structure of normal Hausdorff operators on Lebesgue spaces ⋮ Hadamard-Bergman operators on weighted spaces ⋮ Estimates for singular numbers of Hausdorff–Zhu operators and applications ⋮ To the spectral theory of discrete Hausdorff operators ⋮ Hausdorff–Berezin operators on weighted spaces ⋮ Hausdorff operators over double coset spaces of groups with locally doubling property ⋮ Boundedness of Hausdorff operators on Hardy spaces over homogeneous spaces of Lie groups ⋮ Approximation via Hausdorff operators ⋮ Hausdorff operators on real Hardy spaces \(H^1\) over homogeneous spaces with local doubling property ⋮ Hausdorff operators on some spaces of holomorphic functions on the unit disc ⋮ On the description of multidimensional normal Hausdorff operators on Lebesgue spaces ⋮ Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group ⋮ Hausdorff operators on Bergman spaces of the upper half plane ⋮ Addendum to: ``Boundedness of Hausdorff operators on real Hardy spaces \(H^1\) over locally compact groups ⋮ Generalized Hausdorff-Zhu operators on Möbius invariant spaces ⋮ Two-weighted estimates for multilinear Hausdorff operators and commutators on stratified groups

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