$Tb$ theorem on product spaces

Abstract

In this paper, we prove a $Tb$ theorem on product spaces ${\mathbb{R}}^n\times {\mathbb{R}}^m$, where $b(x_1,x_2)=b_1(x_1)b_2(x_2)$, $b_1$ and $b_2$ are para-accretive functions on ${\mathbb{R}}^n$ and ${\mathbb{R}}^m$, respectively.

23 pages