Littlewood-Paley operators with variable kernels

DOI10.1007/s11425-006-0639-yzbMath1124.42012OpenAlexW1502328865MaRDI QIDQ862710

Jiecheng Chen, Ding, Yong, Fan, Dashan

Publication date: 24 January 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-0639-y

zbMATH Keywords

Sobolev spacesmixed norm estimatesdirectional Hilbert transform

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral operators (45P05) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (6)

\(L^p\) boundedness for Littlewood-Paley operators with rough variable kernels ⋮ Unnamed Item ⋮ Hypersingular Marcinkiewicz integrals along surface with variable kernels on Sobolev space and Hardy-Sobolev space ⋮ A note on parameterized Marcinkiewicz integrals with variable kernels ⋮ Hypersingular parameterized Marcinkiewicz integrals with variable kernels on Sobolev and Hardy-Sobolev spaces ⋮ Boundedness of the commutator of Marcinkiewicz integral with rough variable kernel

Cites Work

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• Maximal operators related to the Radon transform and the Calderon-Zygmund method of rotations
• Analysis of spherical symmetries in Euclidean spaces
• On a hyper Hilbert transform
• On Littlewood-Paley functions and singular integrals
• On the existence of certain singular integrals
• On Singular Integrals
• On singular integrals with variable kernels
• Certain Operators with Rough Singular Kernels
• On Marcinkiewicz integral with variable kernels

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