Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces

被引：1

作者：

Mukhamedov, Farrukh ^{[1
]}

Rafeiro, Humberto ^{[1
]}

机构：

[1] United Arab Emirates Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2020年 / 31卷 / 04期

关键词：

Weight; one-sided ergodic Hilbert transform; modulated; EVERYWHERE CONVERGENCE; ERGODIC-THEOREMS; LINEAR GROWTH; HILBERT; SERIES; FUNCTIONALS; STABILITY; OPERATORS; EQUATIONS; RATES;

D O I：

10.4171/RLM/915

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain weighted strong law of large numbers for a sequence of random variables belonging to variable exponent vector-valued Lebesgue spaces. As an application, we establish sufficient conditions for the convergence of weighted ergodic averages and weighted series of contractions in Banach spaces.

引用

页码：791 / 814

页数：24

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