中国科学院大学学报2018，Vol.35Issue(4)：433-437,5.DOI:10.7523/j.issn.2095-6134.2018.04.001
迭代的哈代-李特伍德极大函数
Iterated Hardy-Littlewood maximal function
摘要
Abstract
In the paper,we investigate the iterated non-centered Hardy-Littlewood maximal function and the iterated centered Hardy-Littlewood maximal function.We prove that the limit of the iterated maximal function is just a fixed point of maximal operator.As an application of the fixed point theory,we finally obtain that the fixed point is ‖f ‖ ∞ for non-centered Hardy-Littlewood maximal operator.The same is true for the centered Hardy-Littlewood maximal operator only for n =1,2.关键词
哈代-李特伍德极大函数/不动点/迭代的哈代-李特伍德极大函数Key words
Hardy-Littlewood maximal function/fixed point/iterated Hardy-Littlewood maximal function分类
数理科学引用本文复制引用
王泽群,燕敦验..迭代的哈代-李特伍德极大函数[J].中国科学院大学学报,2018,35(4):433-437,5.基金项目
Supported by National Natural Science Foundation of China(11471039,11271162) （11471039,11271162）
