Commuting relations for Hausdorff operators and Hilbert transforms on real Hardy spaces

DOI10.1023/A:1020867130612zbMath1012.47011OpenAlexW1814489678MaRDI QIDQ1872913

Elijah Liflyand, Ferenc Móricz

Publication date: 18 May 2003

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1020867130612

zbMATH Keywords

Fourier transformHilbert transformCesàro operatorHausdorff operatorcommuting relationhybrid Hardy spaces \(H^{10}(\mathbb R^2)\) and \(H^{01}(\mathbb R^2)\)product Hardy space \(H^{11}(\mathbb R\times\mathbb R)\)real Hardy space \(H^1(\mathbb R)\)

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)

Related Items (19)

Lower bound of Hausdorff operators on the power weighted Hardy spaces ⋮ Sharp constants for \(q\)-analogue of Hausdorff operators on central \(q\)-Morrey spaces ⋮ The Hausdorff operator on the Hardy space \(H^1(\mathbb{R}^1)\) ⋮ Some estimates for rough Hausdorff operators on the Heisenberg group ⋮ On Hardy kernels as reproducing kernels ⋮ Hausdorff operators on compact abelian groups ⋮ Some estimates for commutators of Hausdorff operators ⋮ Hausdorff operator on Morrey spaces and Campanato spaces ⋮ The multi-parameter Hausdorff operators on H^1 and L^p ⋮ Hausdorff operators on the power weighted Hardy spaces ⋮ Boundedness of Hausdorff operators on Lebesgue spaces and Hardy spaces ⋮ Norm of the Hausdorff operator on the real Hardy space \(H^1({{\mathbb {R}}})\) ⋮ The fractional Hausdorff operators on the Hardy spaces \(H^p(\mathbb{R}^n)\) ⋮ Hausdorff operators on Euclidean spaces ⋮ The Dunkl-Hausdorff operator is bounded on the real Hardy space ⋮ Hausdorff operators on holomorphic Hardy spaces and applications ⋮ Rough Hausdorff operator and its commutators on the Heisenberg group ⋮ Weighted Morrey estimates for Hausdorff operator and its commutator on the Heisenberg group ⋮ On the generalized Hilbert transform and weighted Hardy spaces in \(q\)-Dunkl harmonic analysis

This page was built for publication: Commuting relations for Hausdorff operators and Hilbert transforms on real Hardy spaces