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

2024/10/01 by S. Ray, Ray, Samya Kumar, Diptesh Saha +1 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2410.00987

openalex publication_date 2024/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 \citehong2021noncommutative.

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• Maximal inequalities for square functions associated to group metric measure spaces

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