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    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:[數學研究所] 博碩士論文

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