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 Title: A note on inhomogeneous Triebel-Lizorkin space associated with sections Authors: 林靖容;Lin, Jing-Rong Contributors: 數學系 Keywords: Triebel-Lizorkin space;sections Date: 2019-01-14 Issue Date: 2019-04-02 15:09:53 (UTC+8) Publisher: 國立中央大學 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。;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. Appears in Collections: [數學研究所] 博碩士論文

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