Hardy空间上Fourier级数的Cesàro求和(英文)  

THE CESRO SUMMABILITY OF FOURIER SERIES ON HARDY SPACES

作　　者：李落清[1] 张玉成[2] 

机构地区：[1]湖北大学数学与计算机科学学院,湖北武汉430062 [2]深圳信息职业技术学院基础部,广东深圳518029

出　　处：《数学杂志》2007年第1期1-9,共9页Journal of Mathematics

基　　金：Supported by NSF of China(10371033)

摘　　要：研究了Hardy空间上Ces劋ro算子的有界性.证明极大Ces劋ro算子的强型和弱型有界估计.其弱有界性估计是精确的.推广和加强了已有研究结果.The paper deals with the boundedness of the Cesàro operator on Hardy spaces. The strong and weak type estimates for the boundedness of the Cesàro operator on Hardy spaces are obtained. It is proved that the weak type estimate is sharp. Some known results are extended and strengthened.

关 键 词：FOURIER级数 极大Cesàro算子 HARDY空间 

分 类 号：O174[理学—数学]