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| 研究生： |
黃冠傑 Kuan-Chieh Huang |
|---|---|
| 論文名稱： | A note on inhomogeneous Besov space associated with sections |
| 指導教授： | 李明憶 |
| 口試委員: | |
| 學位類別： |
碩士 Master |
| 系所名稱： |
理學院 - 數學系 Department of Mathematics |
| 論文出版年： | 2017 |
| 畢業學年度： | 105 |
| 語文別： | 中文 |
| 論文頁數： | 24 |
| 中文關鍵詞： | Monge–Ampère 奇異積分算子 |
| 外文關鍵詞： | Besov space, Monge–Ampère singular integral operator |
| 相關次數： | 點閱：16 下載：0 |
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在這篇文章中，我們考慮在R上的函數Φ(x) = (x^2)/2，那麼可以得到擬度量ρ(x, y) = ((x-y)^2)/2 和 section。我們證明了如果R上的任意兩點x, y 滿足ρ(x, y)≧ 1 時就有|D_0HD_0|≦Cρ(x, y)^(-1)的話，則Monge–Ampère 奇異積分算子 H 在關於 section 的非齊次的 Besov 空間是有界的。
In this paper, we considerΦ(x) = (x^2)/2 on R. Then we haveρ(x, y) = ((x-y)^2)/2 and the section. We show that the Monge–Ampère singular integral operator H is bounded on be the inhomogeneous Besov space associated with these sections if |D_0HD_0|≦Cρ(x, y)^(-1) for any x, y in R, ρ(x, y)≧ 1.
References
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