Some ergodic theorems for piecewise monotonic transformations

被引：0
|
作者：
Ding, J
机构：
[1] Department of Mathematics, Univ. of Southern Mississippi, Hattiesburg
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1996年 / 202卷 / 01期
关键词：
D O I：
10.1006/jmaa.1996.0312
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let S: [0, 1]-->[0, 1] be a piecewise monotonic transformation satisfying some conditions. We show that time averages (1/n)Sigma(j=0)(n-1)f degrees S-i converge strongly in L(p)(0,1) and pointwisely almost everywhere for any f is an element of L(p)(0,1), where 1 less than or equal to p<infinity. (C) 1996 Academic Press, Inc.
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页码：194 / 205
页数：12
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