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

Authors

Dashan Fan
Kanghui Guo, Missouri State UniversityFollow
Yibiao Pan

Abstract

Lp mapping properties will be established in this paper for singular Radon transforms with rough kernels defined by translates of a real-analytic submanifold in R3.

Department(s)

Mathematics

Document Type

Article

DOI

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

Keywords

Fourier transform, L boundedness p, Maximal functions, Oscillatory integrals, Real-analytic submanifolds, Rough kernels, Singular integrals

Publication Date

3-1-2003

Recommended Citation

Fan, Dashan, Kanghui Guo, and Yibiao Pan. "Singular integrals with rough kernels along real-analytic submanifolds in R³." Transactions of the American Mathematical Society 355, no. 3 (2003): 1145-1165.

Journal Title

Transactions of the American Mathematical Society