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| 研究生： |
洪誠聰 Cheng-Cong Hung |
|---|---|
| 論文名稱： |
The Boundedness of Calderón-Zygmund Operators by Wavelet Characterization |
| 指導教授： |
李明憶
Ming-Yi Li |
| 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： | 98 |
| 語文別： | 英文 |
| 論文頁數： | 26 |
| 中文關鍵詞： | 哈弟空間 、小波刻劃 、仿積算子 、T1定理 |
| 外文關鍵詞： | Hardy spaces, Wavelet Characterization, Calderón-Zygmund Operators, para-product, T1 Theorem |
| 相關次數： | 點閱：7 下載：0 |
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本論文中，我們討論的是有關於Calderón-Zygmund算子在哈弟空間 的有界性。我們利用 的小波刻劃來證明當Calderón-Zygmund算子T滿足T*1=0，則T在H^p上有界，其中p滿足n/(n+ε)<p<=1，ε依賴於T的核的光滑性。
This article deals with the boundedness properties of Calderón-Zygmund operators on Hardy spaces, H^p. We use wavelet characterization of H^p to show that a Calderón-Zygmund operator T with T*1=0 is bounded on H^p, n/(n+ε)<p<=1, where ε is the regular exponent of kernel of T.
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