洛倫茲空間及其對偶空間;A study of Lorentz spaces and their dual spaces

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/77832

Title:	洛倫茲空間及其對偶空間;A study of Lorentz spaces and their dual spaces
Authors:	林正軒;Adam
Contributors:	數學系
Keywords:	洛倫茲空間;洛倫茲;空間;對偶空間;對偶;插值定理;Lorentz;Marcinkiewicz;Riesz;Thorin;Interpolation;Dual
Date:	2018-07-23
Issue Date:	2018-08-31 14:58:47 (UTC+8)
Publisher:	國立中央大學
Abstract:	在本篇論文裡，我們先介紹兩個插值定理，分別為 Marcinkiewicz 插值定理與 Riesz-Thorin 插值定理，這些插值定理可以應用在許多不同的地方。最後介紹 Lorentz Space 與其 Daul Space，重點則會放在 weak L1 的 Dual Space;In this dissertation we study some topics in the area of Fourier analysis. We first introduce two well-known interpolation theorems, which are called Marcinkiewicz interpolation theorem and Riesz-Thorin interpolation theorem. These results appear in a variety of applications. Finally we introduce the Lorentz spaces and their dual spaces, especially the dual space of weak L1.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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