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

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:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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