Boundedness of dyadic paraproducts on matrix weighted $L^p$

Abstract

In this paper, we show that dyadic paraproducts ${\pi }_b$ with $b$ in dyadic BMO are bounded on matrix weighted $L^p(W)$ if $W$ is a matrix ${\text{A}}_p$ weight.

This paper has been withdrawn, and is vastly generalized by https://arxiv.org/abs/1507.04032