Weighted weak (1,1) estimate for non-commutative square function

Article Type

Research Article

Publication Title

Bulletin of the London Mathematical Society

Abstract

In this article, we consider weighted weak type (1,1) inequality for certain square function associated to differences of ball averages and martingale in the non-commutative setting. This establishes a weighted version of main result of Hong and Xu (J. Funct. Anal. 280 (2021), 108959).

First Page

3061

Last Page

3078

DOI

10.1112/blms.70143

Publication Date

10-1-2025

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