WEIGHTS FOR THE ERGODIC MAXIMAL OPERATOR AND AE CONVERGENCE OF THE ERGODIC AVERAGES FOR FUNCTIONS IN LORENTZ SPACES

被引：0

作者：

SALVADOR, PO

机构：

来源：

TOHOKU MATHEMATICAL JOURNAL | 1993年 / 45卷 / 03期

关键词：

ERGODIC AVERAGES; ERGODIC MAXIMAL OPERATOR; LORENTZ SPACES; MEASURE PRESERVING TRANSFORMATIONS; NULL-PRESERVING TRANSFORMATIONS; WEIGHTS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we deal with an invertible null-preserving transformation into itself of a finite measure space. We prove that the uniform boundedness of the ergodic averages in a reflexive Lorentz space implies a.e. convergence. In order to do this, we study the ''good weights'' for the maximal operator associated to an invertible measure preserving transformation.

引用

页码：437 / 446

页数：10

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