\(L^p\) boundedness for parabolic Littlewood-Paley operators with rough kernels belonging to block spaces

DOI10.1007/S10114-010-8267-4zbMath1214.42026OpenAlexW1968940799MaRDI QIDQ5962264

Lu, Shanzhen, Dong Xiang Chen

Publication date: 21 September 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-8267-4

zbMATH Keywords

Fourier transformrough kernelblock spaceparabolic Littlewood-Paley operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38) (H^p)-spaces (42B30)

Cites Work

• Parabolic Littlewood-Paley \(g\) -function with rough kernel
• Maximal functions and Fourier transforms
• Multiparameter singular integrals and maximal functions
• A note on Marcinkiewicz integral operators.
• Block Spaces on the Unit Sphere in R n
• A PARABOLIC SINGULAR INTEGRAL OPERATOR WITH ROUGH KERNEL
• Singular integrals with mixed homogeneity
• On Littlewood-Paley functions

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