ON THE BOUNDEDNESS OF SINGULAR INTEGRALS WITH VARIABLE KERNELS

抄録

We prove the $L^p (1<p<\infty)$ estimates for the singular integrals with rough variable kernels. The $L^p$ boundedness of a class of modified directional Hilbert transforms is also given. As a consequence of this result, we get a good estimate for the singular integrals with rough odd kernels.