A bilinear T(b) theorem for singular integral operators

In this work, we present a bilinear Tb theorem for singular integral operators of Calderón–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.