Abstract
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.
Citation
Qingying Xue. Kôzô Yabuta. "On the boundedness of singular integrals with variable kernels." Tohoku Math. J. (2) 61 (1) 41 - 65, 2009. https://doi.org/10.2748/tmj/1238764546
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