VMO Associated to the Sections

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/61195

Title:	VMO Associated to the Sections
Authors:	林巧雯;Lin,Chiau-Wen
Contributors:	數學系
Keywords:	BMO's;dual space;Hardy spaces;Monge-Ampere equation;sections;VMO's;BMO's;dual space;Hardy spaces;Monge-Ampere equation;sections;VMO's
Date:	2013-07-11
Issue Date:	2013-08-22 12:14:35 (UTC+8)
Publisher:	國立中央大學
Abstract:	在本文中，我們定義了有關 section的空間，其中 section會構成一族群，是跟 Monge-Amp?re方程式有關，以及我們也證明了的對偶空間是空間。 In this atricle, we define the space $VMO_{\mathcal{F}}(\mathbb R^{n})$ associated with a family $\mathcal{F}$ of sections, where $\mathcal{F}$ is closely related to the Monge-Amp\`{e}re equation, and we prove that the dual space of $VMO_{\mathcal{F}}(\mathbb R^{n})$ is just the Hardy space $H^{1}_{\mathcal{F}}(\mathbb R^{n})$, where is defined in [5].
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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