A PARABOLIC SINGULAR INTEGRAL OPERATOR WITH ROUGH KERNEL

DOI10.1017/S144678870800027XzbMath1213.42037OpenAlexW2123752250MaRDI QIDQ3520154

Fan, Dashan, Ding, Yong, Yan-ping Chen

Publication date: 15 August 2008

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s144678870800027x

zbMATH Keywords

energyframesvector fieldsparallel translation

Mathematics Subject Classification ID

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

Related Items (8)

Mixed radial‐angular integrability for rough maximal singular integrals and Marcinkiewicz integrals with mixed homogeneity ⋮ Compactness of the commutators of parabolic singular integrals ⋮ L^p boundedness for maximal singular integrals with mixed homogeneity along compounds curves ⋮ Singular integrals on product homogeneous groups ⋮ Mixed radial-angular integrability for rough singular integrals and maximal operators ⋮ Sharp \(L^{2}\) boundedness of the oscillatory hyper-Hilbert transform along curves ⋮ \(L^p\) boundedness for parabolic Littlewood-Paley operators with rough kernels belonging to block spaces ⋮ Rough singular integrals and maximal operators with mixed homogeneity along compound curves

Cites Work

• Unnamed Item
• Maximal and singular integral operators via Fourier transform estimates
• On the existence of certain singular integrals
• Singular Integral Operators and Differential Equations
• On Hilbert Transforms Along Curves. II
• A singular integral operator with rough kernel
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

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