The weighted boundedness of Calderon-Zygmund operators

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，Calderón-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Calderón表示定理及Littlewood-Paley的理論來得到。 In this article, we show that Calderón-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 Calderón-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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