Marcinkiewicz積分交換子的有界性; The boundedness of commutator for Marcinkiewicz integrals

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:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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