The Boundedness of the Bilinear Fractional Integrals along Curves

Junfeng Li, Haixia Yu, Minqun Zhao

In this paper, for general curves $(t,{\hat{I}}^3(t))$ satisfying some suitable curvature conditions, we obtain some $L^p(\mathbb{R})\times L^q(\mathbb{R})\to L^r(\mathbb{R})$ esti…