The Strong Matrix Weighted Maximal Operator
Classical Analysis and ODEs
2024-07-03 v2
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.
Cite
@article{arxiv.2306.03858,
title = {The Strong Matrix Weighted Maximal Operator},
author = {Emil Vuorinen},
journal= {arXiv preprint arXiv:2306.03858},
year = {2024}
}
Comments
14 pages. v2: Improvements in the text. Takes into account referee comments