Rough oscillatory singular integral operators of nonconvolution type

DOI10.1016/j.jmaa.2004.06.006zbMath1058.42005OpenAlexW1985384722MaRDI QIDQ1766717

Ahmad Al-Salman

Publication date: 8 March 2005

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.2004.06.006

zbMATH Keywords

rough kernelsHardy-Littlewood maximal functionblock spaces\(L^p\) estimatesoscillatory singular integral operatorstruncated maximal oscillatory singular integrals

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (5)

Boundedness of a class of rough maximal functions ⋮ A unifying approach for certain class of maximal functions ⋮ Non-standard commutators for rough oscillatory singular integrals ⋮ A class of maximal functions with oscillating kernels ⋮ \(L^p\) bounds for a class of Marcinkiewicz integral operators

Cites Work

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• Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
• Criterion on \(L^ p\)-boundedness for a class of oscillatory singular integrals with rough kernels
• Singular integrals associated to homogeneous mappings with rough kernels
• Lp estimates for singular integrals associated to homogeneous surfaces
• Block Spaces on the Unit Sphere in R n
• Singular Integrals with Rough Kernels in L log L (S ^{n −1} )
• On Singular Integrals
• Singular integrals related to homogeneous mappings

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