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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7974


    Title: The weighted boundedness of Calderon-Zygmund operators
    Authors: 李建中;chien-chung Li
    Contributors: 數學研究所
    Keywords: 哈代加權空間;分子刻劃;原子分解;g函數;Ap weights;g-function;molecular character;weighted Hardy spaces;Littlewood paley;atomic decomposition
    Date: 2009-06-19
    Issue Date: 2009-09-22 11:10:37 (UTC+8)
    Publisher: 國立中央大學圖書館
    Abstract: 這篇論文中,我們用兩種手法來討論當w屬於A1權,且n/(n+ε)<p≤1時,Calder&oacute;n-Zygmund算子在Hp的加權有界性。一種是用傳統的原子分解以及分子刻劃來證明;另外一種方法則是用到Calder&oacute;n表示定理及Littlewood-Paley的理論來得到。 In this article, we show that Calder&oacute;n-Zygmund operators are bounded on weighted Hardy space H_w^p provided w∈A_1 and n/(n+ε)<p≤1, the regular exponent ε of the Calder&oacute;n-Zygmund kernel. There are two ways to get the main result, one is using the molecule characterization, the other is using the Littlewood-Paley theory.
    Appears in Collections:[數學研究所] 博碩士論文

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