加權赫茲形式哈弟空間上的郝曼德乘算子; Hormander's multipliers for the weighted Herz-type Hardy spaces

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7799

Title:	加權赫茲形式哈弟空間上的郝曼德乘算子;Hormander's multipliers for the weighted Herz-type Hardy spaces
Authors:	林有鈿;Yu-Tien Lin
Contributors:	數學研究所
Keywords:	加權赫茲形式哈弟空間;郝曼德乘算子;Hormander's multipliers;weighted Herz-type Hardy spaces
Date:	2002-01-10
Issue Date:	2009-09-22 11:05:43 (UTC+8)
Publisher:	國立中央大學圖書館
Abstract:	在本篇文章中，我們利用由林欽誠教授及李明憶所發展的加權哈弟空間 (weighted Hardy space)上的分子特徵來証明郝曼德乘算子 (Hormander's multipliers)在加權赫茲形式哈弟空間 (weighted Herz-type Hardy spaces) $Hdot K_2^{alpha,p}(\|x\|^t;\|x\|^t)$ and $HK_2^{alpha,p}(\|x\|^t;\|x\|^t)$上的有界性。 In this article, we apply the molecular characterization of the weighted Hardy space developed by the first two authors to show the boundedness of Hormander multiplier on the weighted Herz-type Hardy spaces $Hdot K_2^{alpha,p}(\|x\|^t;\|x\|^t)$ and $HK_2^{alpha,p}(\|x\|^t;\|x\|^t)$.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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