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.
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页码：437 / 446
页数：10
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