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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7915

    Title: Marcinkiewicz積分交換子的有界性;The boundedness of commutator for Marcinkiewicz integrals
    Authors: 劉育榮;Yu-jung Liu
    Contributors: 數學研究所
    Keywords: 交換子;Marcinkiewicz
    Date: 2007-06-14
    Issue Date: 2009-09-22 11:08:58 (UTC+8)
    Publisher: 國立中央大學圖書館
    Abstract: 在本文中,證明了 Marcinkiewicz 積分交換子 $mu^m_{Omega,b}$ 是從原子Hardy空間 $H^p_{b^m}(omega )$ 到 $L^p_omega (Bbb{R}^n)$, $max{n/(n+1/2),n/(n+alpha)}<p<1$ 加權有界的 ,其中 $omega$ 是 Muckenhoupt 權函數。 In this paper, we prove that the commutator $mu^m_{Omega,b}$ of the marcinkiewicz integral $mu^m_{Omega}$ is a bounded operator from a class of atomic-Hardy spaces $H^p_{b^m}(omega)$ to $L^p_{omega}(Bbb{R}^n)$ for $max{ n/(n+1/2), n/(n+alpha)}<p<1$, where $omega $ is a Muckenhoupt weight.
    Appears in Collections:[數學研究所] 博碩士論文

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