THE BOUNDEDNESS OF THE HAUSDORFF OPERATOR ON MULTI-DIMENSIONAL HARDY SPACES

DOI10.1524/anly.2004.24.14.183zbMath1071.47033OpenAlexW2316070974MaRDI QIDQ4826040

Ferenc Weisz

Publication date: 5 November 2004

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2004.24.14.183

zbMATH Keywords

Fourier transformHardy spaceatomic decompositionCesàro operatorHausdorff operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Linear operators on function spaces (general) (47B38) (H^p)-spaces (42B30)

Related Items (14)

Hausdorff operators associated with the Opdam-Cherednik transform in Lebesgue spaces ⋮ Boundedness of Hausdorff operators on some product Hardy type spaces ⋮ The Dunkl-Hausdorff operators and the Dunkl continuous wavelets transform ⋮ 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 ⋮ Hausdorff operators on Euclidean spaces ⋮ Multidimensional Hausdorff operators on the real Hardy space ⋮ Some new estimates for the commutators of \(n\)-dimensional Hausdorff operator ⋮ Multilinear fractional Hausdorff operators ⋮ Weighted Morrey estimates for Hausdorff operator and its commutator on the Heisenberg group ⋮ Two-weighted estimates for multilinear Hausdorff operators and commutators on stratified groups ⋮ Hardy-Littlewood-type theorems for Fourier transforms in \(\mathbb{R}^d\)

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