### 博碩士論文 942201012 詳細資訊

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(The boundedness of commutator for Marcinkiewicz integrals)

 ★ 奇異積分算子的加權模不等式 ★ 帶變量核之奇異積分算子 ★ 加權赫茲形式哈弟空間上的郝曼德乘算子 ★ 奇異積分的加權有界性 ★ 乘積空間上離散型Littlewood-Paley理論 ★ Hardy-Hilbert型式的不等式和Cauchy加法映射的穩定性 ★ 關於section的哈代空間上的分子刻畫 ★ Hardy spaces associated to para-accrective functions ★ 哈地空間在開集合上的極大函數刻畫

\$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。

\$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)}

Abstract................................II

1.引言..................................1
2.定義與預備知識........................5
3.定理1.1的證明.........................8

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