The multi-parameter Hausdorff operators on H^1 and L^p

DOI10.7153/mia-2018-21-35OpenAlexW2963837443MaRDI QIDQ4634664

Luong Dang Ky, Duong Quoc Huy

Publication date: 11 April 2018

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02548

zbMATH Keywords

maximal functionsHilbert transformsHausdorff operatorsmulti-parameter Hardy spaces

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) (H^p)-spaces (42B30)

Related Items (2)

Lower bound of Hausdorff operators on the power weighted Hardy spaces ⋮ The Hausdorff operator on weighted \(p\)-adic Morrey and Herz type spaces

Cites Work

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• Best constants for Hausdorff operators on \(n\)-dimensional product spaces
• Product Hardy operators on Hardy spaces
• Anisotropic singular integrals in product spaces
• Commuting relations for Hausdorff operators and Hilbert transforms on real Hardy spaces
• Boundedness of Hausdorff operators on some product Hardy type spaces
• Explicit constants for hardy's inequality with power weight on \(n\)-dimensional product spaces
• \(H^p\) spaces of several variables
• The multi-parameter Hausdorff Operator is bounded on the product Hardy Space H11(R x R)
• Multiparameter Riesz commutators
• H ^p theory for the poly-disc
• THE BOUNDEDNESS OF THE HAUSDORFF OPERATOR ON MULTI-DIMENSIONAL HARDY SPACES
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)

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