Bilinear Hilbert Transforms and (Sub)Bilinear Maximal Functions along Convex Curves

Junfeng Li, Haixia Yu

In this paper, we determine the $L^p(\mathbb{R})\times L^q(\mathbb{R})\to L^r(\mathbb{R})$ boundedness of the bilinear Hilbert transform $H_{\gamma }(f,g)$ along a convex curve $\gamma$…