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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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