On Littlewood-Paley functions

DOI10.1090/S0002-9939-07-08917-4zbMath1124.42013OpenAlexW1992602152MaRDI QIDQ5295106

Leslie C. Cheng

Publication date: 27 July 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08917-4

zbMATH Keywords

\(L^p\)-estimatesmaximal functionsLittlewood-Paley operators

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (8)

Sharp \(L^p\) boundedness for a class of square functions ⋮ Generalized Littlewood-Paley functions on product spaces ⋮ Littlewood-Paley functions under sharp kernel conditions ⋮ ON THE MIXED RADIAL-ANGULAR INTEGRABILITY OF LITTLEWOOD-PALEY FUNCTIONS ⋮ On generalized Littlewood-Paley functions ⋮ Weighted multilinear square functions bounds ⋮ Unnamed Item ⋮ Boundedness of Littlewood-Paley operators relative to non-isotropic dilations

Cites Work

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• Maximal and singular integral operators via Fourier transform estimates
• On Littlewood-Paley functions and singular integrals
• \(L^p\) bounds for the function of Marcinkiewicz.
• Weighted inequalities for rough square functions through extrapolation
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• Weighted norm inequalities for maximal functions and singular integrals
• Remarks on square functions in the Littlewood-Paley theory
• On the function of Marcinkiewicz
• Weighted Norm Inequalities for the Hardy Maximal Function

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