Hardy空间上Fourier级数的Cesaro求和 THE CES(A)RO SUMMABILITY OF FOURIER SERIES ON HARDY SPACES期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Hardy空间上Fourier级数的Cesaro求和

引用本文：	李落清,张玉成.Hardy空间上Fourier级数的Cesaro求和[J].数学杂志,2007,27(1).

作者姓名：	李落清张玉成

摘要：	研究了Hardy空间上Cesaro 算子的有界性.证明极大Cesaro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.
关键词：	Fourier级数极大Cesaro算子 Hardy空间 maximal Cesro operator
THE CES(A)RO SUMMABILITY OF FOURIER SERIES ON HARDY SPACES

LI Luo-qing,ZHANG Yu-cheng.THE CES(A)RO SUMMABILITY OF FOURIER SERIES ON HARDY SPACES[J].Journal of Mathematics,2007,27(1).

Authors:	LI Luo-qing ZHANG Yu-cheng

Abstract:	The paper deals with the boundedness of the Cesro operator on Hardy spaces.The strong and weak type estimates for the boundedness of the Cesro operator on Hardy spaces are obtained.It is proved that the weak type estimate is sharp.Some known results are extended and strengthened.

Keywords:	Fourier series Hardy space
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