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Singular integral operators with rough kernels supported by subvarieties
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 119, Number 4, August 1997
- pp. 799-839
- 10.1353/ajm.1997.0024
- Article
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Abstract
In this paper we study the mapping properties of singular Radon transforms defined by translates of a subvariety. The singular kernels considered here are of Calderón-Zygmund type, but are allowed to be very rough both on the unit sphere and in the radial direction. We prove, among other things, that such singular integral operators are bounded on the Lebesgue spaces.
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