状态保持动作的倍增条件下的极大不等式

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-09-17 DOI:10.1016/j.jfa.2025.111201

Panchugopal Bikram , Diptesh Saha

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引用次数: 0

摘要

利用具有满足倍增条件的度量的可服从、局部紧致、次可数群，证明了von Neumann代数上状态保持作用的极大不等式和遍历定理。关键思想是使用Hardy-Littlewood极大不等式，这是迁移原理的一个版本，以及遍历平均和鞅之间差异的某些范数估计。

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Maximal inequalities associated to doubling condition for state preserving actions

This article proves maximal inequalities and ergodic theorems for state-preserving actions on von Neumann algebras by amenable, locally compact, second-countable groups equipped with metrics satisfying the doubling condition. The key idea is to use the Hardy–Littlewood maximal inequality, a version of the transference principle and certain norm estimates of differences between ergodic averages and martingales.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis