\(L^p\) boundedness for Littlewood-Paley operators with rough variable kernels

DOI10.1016/j.jmaa.2010.12.020zbMath1222.42024OpenAlexW1980853459MaRDI QIDQ629249

Ding, Yong, Yan-ping Chen

Publication date: 8 March 2011

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.2010.12.020

zbMATH Keywords

\(L^p\) boundednessvariable kernelparameterized Marcinkiewicz integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Harmonic analysis in several variables (42B99)

Related Items (1)

On the compactness of the commutator of the parabolic Marcinkiewicz integral with variable kernel

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Estimates for translation invariant operators in \(L^p\) spaces
• Littlewood-Paley operators with variable kernels
• An integral estimate of Bessel function and its application
• Maximal operators related to the Radon transform and the Calderon-Zygmund method of rotations
• Interpolation of analytic families of operators
• On Singular Integrals
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• On singular integrals with variable kernels
• Weighted boundedness for a class of rough Marcinkiewicz integrals
• On Marcinkiewicz integral with variable kernels
• Intermediate spaces and interpolation, the complex method
• On the function of Marcinkiewicz
• On a Problem of Mihlin
• \(L^p\)-boundedness of Marcinkiewicz integrals with Hardy space function kernels

This page was built for publication: \(L^p\) boundedness for Littlewood-Paley operators with rough variable kernels