A noncommutative weak type (1,1) estimate for a square function from ergodic theory
نویسندگان
چکیده
In this paper, we investigate the boundedness of a square function operator from ergodic theory acting on noncommutative Lp-spaces. The main result is weak type (1,1) estimate operator. We also show (L∞,BMO) estimate, and thus all strong (Lp,Lp) estimates by interpolation. new difficulty lies in fact that kernel does not enjoy any regularity, while Lipschitz regularity assumption crucial showing such endpoint for Calderón-Zygmund singular integrals.
منابع مشابه
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2021
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2021.108959