Ergodic theorem in variable Lebesgue spaces

被引：0

作者：

Przemysław Górka

机构：

[1] Warsaw University of Technology,Department of Mathematics and Information Sciences

来源：

Periodica Mathematica Hungarica | 2016年 / 72卷

关键词：

Lebesgue spaces with variable exponents; Ergodic theorem; Probability measure; 28D05; 54C35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove an Ergodic Theorem in variable exponent Lebesgue spaces, whenever the exponent is invariant under the transformation. Moreover, a counterexample is provided which shows that the norm convergence fails to hold for an arbitrary exponent.

引用

页码：243 / 247

页数：4

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