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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/48283

    Title: 關於加權哈弟空間結合仿增長函數的一個註解;A Note on Weighted Hardy Spaces Associated to Para-accretive Functions
    Authors: 蔡孟軒;Meng-Shuan Tsai
    Contributors: 數學研究所
    Keywords: 原子分解;Calderon-Zygmund算子;哈弟空間;Plancherel-Polya不等式;Calderon型再生公式;Plancherel-Polya inequality;Calderon-type reproducing formula;Hardy space;Calderon-Zygmund operators;Atomic decomposition
    Date: 2011-06-30
    Issue Date: 2012-01-05 14:43:48 (UTC+8)
    Abstract: 在本文中,我們證明一個結合了仿增長函數的加權哈弟空間Hpb,w的子空間,它的一個新的原子分解,藉此得到一個線性算子有界性的檢定法。在應用上,利用到消失矩條件,我們證明某些種類的Calderon-Zygmund算子在Hpb,w空間上是有界的。 In this article, we prove a new atomic decomposition for the subspace of weight Hardy space associated to para-accretive function Hpb,w and then obtain a criterion of the boundedness of linear operator. As an application, we show some kinds of Calderon-Zygmund operators are bounded on Hpb,w under some vanishing condition.
    Appears in Collections:[數學研究所] 博碩士論文

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