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

TL;DR

This paper presents a straightforward stopping time proof for matrix weighted Triebel-Lizorkin bounds in , including explicit matrix A_p characteristic dependence and discussion of open questions.

Contribution

It introduces a simple stopping time proof for matrix weighted Triebel-Lizorkin bounds and provides explicit dependence on matrix A_p characteristics.

Findings

Simplified proof technique for matrix weighted bounds

Explicit matrix A_p characteristic dependence

Discussion of open questions in the field

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.