Weighted weak $(1,1)$ estimate for non-commutative square function
Functional Analysis
2025-06-19 v3 Classical Analysis and ODEs
Operator Algebras
Abstract
In this article, we consider weighted weak type 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 \cite{hong2021noncommutative}.
Keywords
Cite
@article{arxiv.2410.00987,
title = {Weighted weak $(1,1)$ estimate for non-commutative square function},
author = {Samya Kumar Ray and Diptesh Saha},
journal= {arXiv preprint arXiv:2410.00987},
year = {2025}
}
Comments
15 pages, typos fixed, more details are added, to appear in Bulletin of the London Mathematical Society