Exponent of Convergence of a Sequence of Ergodic Averages

被引：3

作者：

Podvigin, I., V ^{[1
]}

机构：

[1] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk 630090, Russia

来源：

MATHEMATICAL NOTES | 2022年 / 112卷 / 1-2期

关键词：

Birkhoff's ergodic theorem; rates of convergence in ergodic theorems; the exponent of convergence; Tanny-Wos spaces; LAW;

D O I：

10.1134/S000143462207029X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a sequence of ergodic averages, we consider its exponent of convergence, which is a numerical characteristic of two-sided power-law estimates of the rate of pointwise convergence of this sequence. Criteria for the boundary values 1 and infinity of the exponent of convergence are given. Functions cohomologous to zero with a given the exponent of convergence are also described.

引用

页码：271 / 280

页数：10

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