Marcinkiewicz積分交換子的有界性

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劉育榮(Yu-jung Liu) 查詢紙本館藏

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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

參考文獻

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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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