Lp boundedness for commutators of parabolic Littlewood-Paley operators with rough kernels

DOI10.1002/mana.200810139zbMath1245.42018OpenAlexW1987138283MaRDI QIDQ3006645

Lu, Shanzhen, Dong Xiang Chen

Publication date: 20 June 2011

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

Full work available at URL: https://doi.org/10.1002/mana.200810139

zbMATH Keywords

rough kernelcommutatorblock spaceparabolic Littlewood-Paley operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Commutators, derivations, elementary operators, etc. (47B47) (H^p)-spaces (42B30)

Related Items (3)

On the commutators of Marcinkiewicz integrals with rough kernels in weighted Lebesgue spaces ⋮ Weighted complete continuity for the commutator of Marcinkiewicz integral ⋮ On the compactness of the commutator of the parabolic Marcinkiewicz integral with variable kernel

Cites Work

• A note on certain block spaces on the unit sphere
• On the commutator of the Marcinkiewicz integral.
• Singular integral operators, Morrey spaces and fine regularity of solutions to PDEs
• On commutators of Marcinkiewicz integrals with rough kernel
• \(L^p\) bounds for the commutator of parabolic singular integral with rough kernels
• A note on the Marcinkiewicz integral
• L^p(Rⁿ) boundedness for the commutator of a homogeneous singular integral operator
• L^pBOUNDS FOR THE PARABOLIC MARCINKIEWICZ INTEGRAL WITH ROUGH KERNELS
• L^p estimates for the commutators of Marcinkiewicz integrals with kernels belonging to certain block spaces
• Singular integrals with mixed homogeneity
• On Littlewood-Paley functions

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