$L^p({\mathbb{R}}^2)$-boundedness of Hilbert Transforms and Maximal Functions along Plane Curves with Two-variable Coefficients

Naijia Liu, Liang Song, Haixia Yu

In this paper, for general plane curves $\gamma$ satisfying some suitable smoothness and curvature conditions, we obtain the single annulus $L^p({\mathbb{R}}^2)$-boundedness of the Hilber…