加權赫茲形式哈弟空間上的郝曼德乘算子

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林有鈿(Yu-Tien Lin) 查詢紙本館藏

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論文名稱

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)

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摘要(中)

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。

摘要(英)

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 $HK_2^{alpha,p}(|x|^t;|x|^t)$.

關鍵字(中)

★ 加權赫茲形式哈弟空間
★ 郝曼德乘算子

關鍵字(英)

★ Hormander’’s multipliers
★ weighted Herz-type Hardy spaces

論文目次

1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
2. The Ap weights . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
3. The atomic decomposition and molecular characterization . . 7
4. Main results and applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
5. References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19

參考文獻

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149.

指導教授

林欽誠(Chin-Cheng Lin)

審核日期

2002-6-10

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