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| 研究生： |
蘇奕穎 Yee-Ying Su |
|---|---|
| 論文名稱： |
一個Monge-Ampère奇異積分算子的例子 An Example of the Monge-Ampère Singular Integral Operator |
| 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 |
| 論文出版年： | 2016 |
| 畢業學年度： | 104 |
| 語文別： | 中文 |
| 論文頁數： | 16 |
| 中文關鍵詞： | 奇異積分算子 |
| 相關次數： | 點閱：14 下載：0 |
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我們討論的是在R上，用ϕ(x) = x2造出Sϕ(x, t) = B(x, √t)這個section，而B(x, √t)是一個以x為中心，以√t為半徑的開區間。最後我們用這個section 造出一個Monge-Ap`ere奇異積分算子。
Let ϕ(x) = x2 be a strictly convex and smooth function on R, we construct Sϕ(x, t) = B(x, √t), where B(x, √t) is a open interval with center x and radius √t. Then the section Sϕ satisfies the condition of section. we also construct an example of the Monge-Ap`ere singular integral operator.
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