沿算术集合的遍历平均的非交换最大不等式

Cheng Chen, Guixiang Hong, Liang Wang
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摘要

在本文中,我们针对作用于非交换$L_p$空间的$p>\frac\{sqrt{5}+1}{2}$,建立了关于集合$\{k^t|k=1,2,3,...\}$的遍历平均数的非交换最大不等式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A noncommutative maximal inequality for ergodic averages along arithmetic sets
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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