Matrix weighted Triebel-Lizorkin bounds: a simple stopping time proof

Abstract

In this paper we will give a simple stopping time proof in the ${\mathbb{R}}^d$ setting of the matrix weighted Triebel-Lizorkin bounds proved by F. Nazarov/S. Treil and A. Volberg, respectively. Furthermore, we provide explicit matrix A${}_p$ characteristic dependence and also discuss some interesting open questions.

13 pages, no figures, submitted