Hardy空间上Fourier级数的Cesaro求和
Hardy공간상Fourier급수적Cesaro구화
THE CES(A)RO SUMMABILITY OF FOURIER SERIES ON HARDY SPACES
  • 万方数据
    数学杂志 수학잡지
    JOURNAL OF MATHEMATICS
    2007年 1期 1-9 ,共9页

    李落清%张玉成

    리락청%장옥성

    Fourier级数%极大Cesaro算子%Hardy空间 Fourier級數%極大Cesaro算子%Hardy空間
    Fourier급수%겁대Cesaro산자%Hardy공간
    Fourier series%maximal Cesro operator%Hardy space
    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.
    연구료Hardy공간상Cesaro 산자적유계성.증명겁대Cesaro산자적강형화약형유계고계.기약유계성고계시정학적.추엄화가강료이유연구결과.
    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.
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