Hardy space estimates for bi-parameter Littlewood-Paley square functions

DOI10.1007/S11464-020-0821-5zbMath1439.42019OpenAlexW3009212309MaRDI QIDQ2178626

Fanghui Liao, Zhengyang Li

Publication date: 11 May 2020

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-020-0821-5

zbMATH Keywords

Hardy spaceatomic decompositionLittlewood-Paley square functionJourné's covering lemma

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)

Related Items (1)

A revisit to the atomic decomposition of weighted Hardy spaces

Cites Work

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• \(H^p\) boundedness of Calderón-Zygmund operators on product spaces
• Boundedness of bi-parameter Littlewood-Paley operators on product Hardy space
• \(H^p\) spaces of several variables
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• H ^p theory for the poly-disc
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Square Function Estimates and the T(b) Theorem

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