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| 研究生： |
蔡孟軒 Meng-Shuan Tsai |
|---|---|
| 論文名稱： |
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 |
| 指導教授： |
李明憶
Ming-Yi Lee |
| 口試委員: | |
| 學位類別： |
碩士 Master |
| 系所名稱： |
理學院 - 數學系 Department of Mathematics |
| 畢業學年度： | 99 |
| 語文別： | 英文 |
| 論文頁數： | 20 |
| 中文關鍵詞： | 原子分解 、Calderon-Zygmund算子 、哈弟空間 、Plancherel-Polya不等式 、Calderon型再生公式 |
| 外文關鍵詞： | Plancherel-Polya inequality, Calderon-type reproducing formula, Hardy space, Calderon-Zygmund operators, Atomic decomposition |
| 相關次數： | 點閱：14 下載：0 |
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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.
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