Singular integrals with rough kernels along real-analytic submanifolds in 𝐑³

Fan, Dashan; Guo, Kanghui; Pan, Yibiao

doi:10.1090/S0002-9947-02-03175-6

Singular integrals with rough kernels along real-analytic submanifolds in ${\mathbf {R}}^3$
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by Dashan Fan, Kanghui Guo and Yibiao Pan

Trans. Amer. Math. Soc. 355 (2003), 1145-1165

DOI: https://doi.org/10.1090/S0002-9947-02-03175-6

Published electronically: November 5, 2002

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Abstract:

$L^p$ mapping properties will be established in this paper for singular Radon transforms with rough kernels defined by translates of a real-analytic submanifold in $\mathbf {R}^3$.

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