paper

The Strong Matrix Weighted Maximal Operator

arXiv:2306.03858

Abstract

The purpose of this note is to prove that the strong Christ-Goldberg maximal function is bounded. This is a matrix weighted maximal operator appearing in the theory of matrix weighted norm inequalities. Related to this we record the Rubio de Francia extrapolation theorem with bi-parameter matrix weights.

arXiv comment14 pages. v2: Improvements in the text. Takes into account referee comments