A bilinear T(b) theorem for singular integral operators

摘要

In this work, we present a bilinear Tb theorem for singular integral operators of Calderon-Zygmund type. We prove some new accretive type Littlewood-Paley results and construct a bilinear paraproduct for a para-accretive function setting. As an application of our bilinear Tb theorem, we prove product Lebesgue space bounds for bilinear Riesz transforms defined on Lipschitz curves. (C) 2015 Elsevier Inc. All rights reserved.