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arXiv · 2408.04374

A noncommutative maximal inequality for ergodic averages along arithmetic sets

Cheng Chen·Guixiang Hong·Liang Wang
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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 $p>\frac{\sqrt{5}+1}{2}$.

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Cheng Chen, Guixiang Hong, Liang Wang. 2024-08-08. A noncommutative maximal inequality for ergodic averages along arithmetic sets. https://arxiv.org/abs/2408.04374

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