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姓名 劉育榮(Yu-jung Liu)  查詢紙本館藏   畢業系所 數學系
論文名稱 Marcinkiewicz積分交換子的有界性
(The boundedness of commutator for Marcinkiewicz integrals)
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摘要(中) 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)} ,其中 $omega$ 是 Muckenhoupt 權函數。
摘要(英) 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)}
關鍵字(中) ★ 交換子 關鍵字(英) ★ Marcinkiewicz
論文目次 摘要....................................I
Abstract................................II
目錄....................................III
1.引言..................................1
2.定義與預備知識........................5
3.定理1.1的證明.........................8
參考文獻................................16
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指導教授 林欽誠(Chin-cheng Lin) 審核日期 2007-7-17
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