Boundedness of Hausdorff operators on some product Hardy type spaces

DOI10.1007/s11766-012-2922-8zbMath1265.42075OpenAlexW1993641729MaRDI QIDQ1931131

Jiecheng Chen, Fan, Dashan, Chun Jie Zhang

Publication date: 24 January 2013

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-012-2922-8

zbMATH Keywords

atomic decompositionHausdorff operatorproduct Hardy spacelocal product Hardy spaceproduct Besov space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Related Items (12)

Sharp weak bounds for Hausdorff operators ⋮ Boundedness of multidimensional Hausdorff operator on Hardy-Morrey and Besov-Morrey spaces ⋮ Characterizations of product Hardy space associated to Schrödinger operators ⋮ Integrability of the general product Hardy operators on the product Hardy spaces ⋮ Rough Hausdorff operators on Lebesgue spaces with variable exponent ⋮ Best constants for Hausdorff operators on \(n\)-dimensional product spaces ⋮ The multi-parameter Hausdorff operators on H^1 and L^p ⋮ Hausdorff operators on function spaces ⋮ Hausdorff operators on Euclidean spaces ⋮ Some new estimates for the commutators of \(n\)-dimensional Hausdorff operator ⋮ Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group ⋮ Hausdorff operators on weighted Lorentz spaces

Cites Work

• Unnamed Item
• Hausdorff operators on function spaces
• The atomic decomposition of \(H^ 1\) in product spaces
• Harmonic analysis on product spaces
• Bounded mean oscillation on the polydisk
• Multilinear Hausdorff operators and their best constants
• Multivariate Hausdorff operators on the spaces \(L^p(\mathbb R^n)\)
• Multivariate Hausdorff operators on the spaces \(H^1(R^n)\) and \(BMO(R^n)\)
• Functions of bounded mean oscillation
• The multi-parameter Hausdorff Operator is bounded on the product Hardy Space H11(R x R)
• Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$ spaces
• H ^p theory for the poly-disc
• THE BOUNDEDNESS OF THE HAUSDORFF OPERATOR ON MULTI-DIMENSIONAL HARDY SPACES
• Best Constants for Two Nonconvolution Inequalities
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Multidimensional Hausdorff operators on the real Hardy space

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