On singular integral operators with rough kernel along surface

DOI10.1007/S00020-010-1823-6zbMath1203.42021OpenAlexW1999740573WikidataQ125946253 ScholiaQ125946253MaRDI QIDQ601727

Kôzô Yabuta, Ding, Yong, Qing Ying Xue

Publication date: 29 October 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-010-1823-6

zbMATH Keywords

rough kernelsingular integralalong surface

Mathematics Subject Classification ID

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

Related Items (8)

Triebel-Lizorkin space boundedness of rough singular integrals associated to surfaces of revolution ⋮ WEIGHTED L p -BOUNDEDNESS OF SINGULAR INTEGRALS WITH ROUGH KERNEL ASSOCIATED TO SURFACES ⋮ Rough maximal singular integral and maximal operators supported by subvarieties on Triebel-Lizorkin spaces ⋮ Boundedness and continuity of several integral operators with rough kernels in \(W \mathcal F_\beta (\mathrm S^{n-1})\) on Triebel-Lizorkin spaces ⋮ A note on rough singular integrals in Triebel-Lizorkin spaces and Besov spaces ⋮ On rough singular integrals related to homogeneous mappings ⋮ A note on certain integrals along polynomial compound curves ⋮ Rough singular integrals and maximal operators with mixed homogeneity along compound curves

Cites Work

• Rough singular integrals on Triebel-Lizorkin space and Besov space
• Maximal and singular integral operators via Fourier transform estimates
• A weighted norm inequality for rough singular integrals
• Weighted \(L^ p\)-boundedness for higher order commutators of oscillatory singular integrals
• A Note on Singular Integrals
• On Singular Integrals
• Weighted Norm Inequalities for Homogeneous Singular Integrals
• Weighted estimates for commutators of linear operators
• A singular integral operator with rough kernel
• Singular integral operators with rough convolution kernels
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