\(L^{p}\) boundedness of Marcinkiewicz integral operators

DOI10.1016/J.JMAA.2006.03.021zbMath1106.42009OpenAlexW1979999905MaRDI QIDQ860970

Leslie C. Cheng, Pan, Yibiao

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.03.021

zbMATH Keywords

Marcinkiewicz integrals\(L^{p}\) spaces

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (1)

\(L^p\) boundedness of Marcinkiewicz integrals with \(H^1\) kernels

Cites Work

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• Estimates for translation invariant operators in \(L^p\) spaces
• Maximal and singular integral operators via Fourier transform estimates
• On the Fourier transform of measures carried by submanifolds of finite type
• \(L^p\) bounds for the function of Marcinkiewicz.
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• Singular integral operators with rough kernels supported by subvarieties
• A problem on rough parametric Marcinkiewicz functions
• On the function of Marcinkiewicz

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