Continuity for Littlewood-Paley operator and its commutator on Herz type Hardy spaces

DOI10.1134/S1995080209030081zbMath1226.42015MaRDI QIDQ639436

Xiaosha Zhou

Publication date: 21 September 2011

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

commutatorLittlewood-Paley operatorHerz space\(\text{BMO}(\mathbb R^n)\)Herz type Hardy space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Cites Work

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• Continuity properties for linear commutators of Calderón-Zygmund operators
• Factorization theorems for Hardy spaces in several variables
• The continuity of commutators on Herz-type spaces
• Endpoint estimates for commutators of singular integral operators
• A Theory of Hardy Spaces Associated to the Herz Spaces
• Weighted estimates for commutators of linear operators
• The local versions of $H^p(ℝ^n)$ spaces at the origin

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