| DC 欄位 |
值 |
語言 |
| DC.contributor | 數學系 | zh_TW |
| DC.creator | 林靖容 | zh_TW |
| DC.creator | Jing-Rong Lin | en_US |
| dc.date.accessioned | 2019-1-14T07:39:07Z | |
| dc.date.available | 2019-1-14T07:39:07Z | |
| dc.date.issued | 2019 | |
| dc.identifier.uri | http://ir.lib.ncu.edu.tw:444/thesis/view_etd.asp?URN=105221017 | |
| dc.contributor.department | 數學系 | zh_TW |
| DC.description | 國立中央大學 | zh_TW |
| DC.description | National Central University | en_US |
| dc.description.abstract | 在這篇文章中，我們討論R^n上特定的section，就是固定x為中心、以√t為半徑的球體B(x,√t)，其勒貝格測度等價於t^(n/2)，因此可以考慮關於此section的非齊性F_pq^s (R^n )，當任意兩點x,y滿足|x-y|≥1時，Monge-Ampère奇異積分算子H有|D_0 HD_0 (x,y)|≤|x-y|^(-2)的條件，即可證明H在F_pq^s (R^n )上有界。 | zh_TW |
| dc.description.abstract | In this paper, we consider the special section on R^n, which is a ball centered at with radius √t, and the Lesbegue measure of this section is equivalent to t^(n/2). Then, define the inhomogenous Triebel-Lizorkin space F_pq^s (R^n ) associated with such sections, and show that the Monge-Ampère singular integral operator H is bounded on F_pq^s (R^n ) if |D_0 HD_0 (x,y)|≤|x-y|^(-2) for any x,y∈R^n,|x-y|≥1. | en_US |
| DC.subject | Triebel-Lizorkin space | zh_TW |
| DC.subject | sections | zh_TW |
| DC.title | A note on inhomogeneous Triebel-Lizorkin space associated with sections | en_US |
| dc.language.iso | en_US | en_US |
| DC.type | 博碩士論文 | zh_TW |
| DC.type | thesis | en_US |
| DC.publisher | National Central University | en_US |