The sharp weighted maximal inequalities for noncommutative martingales
Operator Algebras
2022-11-18 v1
Abstract
The purpose of the paper is to establish weighted maximal -inequalities in the context of operator-valued martingales on semifinite von Neumann algebras. The main emphasis is put on the optimal dependence of the constants on the characteristic of the weight involved. As applications, we establish weighted estimates for the noncommutative version of Hardy-Littlewood maximal operator and weighted bounds for noncommutative maximal truncations of a wide class of singular integrals.
Cite
@article{arxiv.2211.09358,
title = {The sharp weighted maximal inequalities for noncommutative martingales},
author = {Tomasz Gałązka and Yong Jiao and Adam Osękowski and Lian Wu},
journal= {arXiv preprint arXiv:2211.09358},
year = {2022}
}