Boundedness of the Cesaro operator in hardy spaces

被引：35
|
作者：
Miyachi, A [1 ]
机构：
[1] Tokyo Womans Christian Univ, Dept Math, Suginami Ku, Tokyo 1678585, Japan
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2004年 / 10卷 / 01期
关键词：
Cesaro operator; hardy space;
D O I：
10.1007/s00041-004-8005-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Cesaro operator Calpha is defined by (C(alpha)f)(x) = integral(0)(1) t(-1)f (t(-1)x)alpha(1-t)(alpha-1) dt, where f denotes a function on R. We prove that C-alpha, alpha>0, is a bounded operator in the Hardy space H-p for every 0<p <= 1.
引用
收藏
页码：83 / 92
页数：10
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