Lp estimates for the commutators of Marcinkiewicz integrals with kernels belonging to certain block spaces

DOI10.1002/mana.200410413zbMath1097.42013OpenAlexW2095153921MaRDI QIDQ5486344

Huo Xiong Wu

Publication date: 6 September 2006

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200410413

zbMATH Keywords

boundednesscommutatorsLittlewood-Paley functionsMarcinkiewicz integralsrough kernelsblock spacesFourier transform estimatesBMO\((\mathbb R^n)\)

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)

Related Items (3)

Necessary and sufficient conditions for the bounds of the Calderón type commutator for the Littlewood-Paley operator ⋮ Applications of some block spaces to singular integrals ⋮ L^p boundedness for commutators of parabolic Littlewood-Paley operators with rough kernels

Cites Work

• \(L^p\) bounds for the function of Marcinkiewicz.
• On the commutators of singular integrals related to block spaces

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