Hp → Hp boundedness implies Hp → Lp boundedness

DOI10.1515/FORM.2011.026zbMath1225.42014OpenAlexW2322028213MaRDI QIDQ3020565

Yongsheng Han, Ji Li, Guozhen Lu, Pei-Yong Wang

Publication date: 4 August 2011

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2011.026

zbMATH Keywords

discrete Calderón's identitydiscrete Littlewood-Paley theorymultiparameter Hardy spacesCalderón-Zygmund singular operatorsmin-max type inequality

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30) Banach sequence spaces (46B45)

Related Items (10)

Endpoint estimates of generalized homogeneous Littlewood-Paley \(g\)-functions over non-homogeneous metric measure spaces ⋮ Characterizations of product Hardy spaces in Bessel setting ⋮ Atomic decomposition of weighted multi-parameter mixed Hardy spaces ⋮ Multilinear multiplier theorems and applications ⋮ Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness ⋮ Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type ⋮ Some one-sided estimates for oscillatory singular integrals ⋮ Multi-parameter local Hardy spaces ⋮ Singular integrals on Carleson measure spaces ${CMO}^p$ on product spaces of homogeneous type ⋮ Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals

Cites Work

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• Singular integrals on product spaces
• Harmonic analysis on product spaces
• Journé's covering lemma and its extension to higher dimensions
• A decomposition into atoms of distributions on spaces of homogeneous type
• A continuous version of duality of \(H^ 1\) with BMO on the bidisc
• \(H^p\) spaces of several variables
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• H ^p theory for the poly-disc
• Plancherel-Pôlya type inequality on spaces of homogeneous type and its applications
• Some Maximal Inequalities

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