Estimates for singular integrals and extrapolation
Volume 192 / 2009
Studia Mathematica 192 (2009), 219-233
MSC: Primary 42B20, 42B25.
DOI: 10.4064/sm192-3-2
Abstract
We study singular integrals with rough kernels, which belong to a class of singular Radon transforms. We prove certain estimates for the singular integrals that are useful in an extrapolation argument. As an application, we prove $L^p$ boundedness of the singular integrals under a certain sharp size condition on their kernels.
