The multi-parameter Hausdorff Operator is bounded on the product Hardy Space H11(R x R)

DOI10.1524/ANLY.2001.21.2.107zbMath0987.47023OpenAlexW2329169866MaRDI QIDQ2743904

Ferenc Móricz, Elijah Liflyand

Publication date: 17 September 2001

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2001.21.2.107

zbMATH Keywords

Fourier transformclosed graph theoremHilbert transformsproduct Hardy spaceone-parameter Hausdorff operators

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operators on function spaces (general) (47B38)

Related Items (12)

Sharp weak bounds for Hausdorff operators ⋮ Hausdorff operators associated with the Opdam-Cherednik transform in Lebesgue spaces ⋮ Boundedness of Hausdorff operators on some product Hardy type 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 \(H^1({{\mathbb {R}}})\) ⋮ Multidimensional Hausdorff operators and commutators on Herz-type 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

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