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A noncommutative maximal inequality for ergodic averages along arithmetic sets

Authors :
Chen, Cheng
Hong, Guixiang
Wang, Liang
Publication Year :
2024

Abstract

In this paper, we establish a noncommutative maximal inequality for ergodic averages with respect to the set $\{k^t|k=1,2,3,...\}$ acting on noncommutative $L_p$ spaces for $p>\frac{\sqrt{5}+1}{2}$.<br />Comment: 18 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2408.04374
Document Type :
Working Paper