Boundedness of bi-parameter Littlewood-Paley $g_{\lambda}^*$-function on Hardy spaces

DOI10.7153/mia-2021-24-06zbMath1465.42019OpenAlexW3134737020MaRDI QIDQ4991558

Fanghui Liao, Congwei Ji, Zhengyang Li

Publication date: 3 June 2021

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

Full work available at URL: https://doi.org/10.7153/mia-2021-24-06

zbMATH Keywords

Hardy spaceatomic decompositionJourné's covering lemmaLittlewood-Paley \(g_\lambda^\ast\)-function

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Integral operators (47G10)

Cites Work

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• H ^p theory for the poly-disc
• Weighted end-point weak type (p,p) estimates for g_λ^✱-function with kernels of lower regularities
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Square Function Estimates and the T(b) Theorem

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