A class of singular bilinear maximal functions

Abstract

Lebesgue space bounds $L^{p_1}({\mathbb{R}}^1)\times L^{p_2}{(}^1)\to L^q({\mathbb{R}}^1)$ are established for certain maximal bilinear operators. The proof combines a trilinear smoothing inequality with Calderón-Zygmund theory. A reference to overlapping work of other authors on one observation has been added.