Norm of the Hausdorff operator on the real Hardy space \(H^1({{\mathbb {R}}})\)

DOI10.1007/s11785-017-0651-yOpenAlexW2594081672MaRDI QIDQ682208

Thai Thuan Quang, Luong Dang Ky, Ha Duy Hung

Publication date: 14 February 2018

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03486

zbMATH Keywords

Hardy spacemaximal functionHilbert transformholomorphic functionHausdorff operator

Mathematics Subject Classification ID

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

Related Items (9)

Lower bound of Hausdorff operators on the power weighted Hardy spaces ⋮ Hausdorff operators on Fock spaces and a coefficient multiplier problem ⋮ Some estimates for rough Hausdorff operators on the Heisenberg group ⋮ Some weighted inequalities for Hausdorff operators and commutators ⋮ Hausdorff operators of special kind in \textit{BMO}-type spaces and Hölder-Lipschitz spaces ⋮ Hausdorff operators on holomorphic Hardy spaces and applications ⋮ Some results for the commutators of generalized Hausdorff operator ⋮ Hausdorff operators on Bergman spaces of the upper half plane ⋮ Two-weighted estimates for multilinear Hausdorff operators and commutators on stratified groups

Cites Work

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• Hausdorff operator on real Hardy spaces
• Hausdorff operators on the power weighted Hardy spaces
• Commuting relations for Hausdorff operators and Hilbert transforms on real Hardy spaces
• Multivariate Hausdorff operators on the spaces \(H^1(R^n)\) and \(BMO(R^n)\)
• The Hausdorff operator on the Hardy space \(H^1(\mathbb{R}^1)\)
• \(H^p\) spaces of several variables
• The multi-parameter Hausdorff Operator is bounded on the product Hardy Space H11(R x R)
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)

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