| 林燕,韩妍妍.多线性强奇异 Calderόn-Zygmund 算子的多线性迭代交换子的 Sharp 极大和加权估计[J].数学年刊A辑,2019,40(4):399~416 |
| 多线性强奇异 Calderόn-Zygmund 算子的多线性迭代交换子的 Sharp 极大和加权估计 |
| Sharp Maximal and Weighted Estimates for Multilinear Iterated Commutators of Multilinear Strongly Singular Calderόn-Zygmund Operators |
| Received:May 29, 2018 |
| DOI：10.16205/j.cnki.cama.2019.0030 |
| 中文关键词: Multilinear strongly singular Calder'{o}n-Zygmund operator, Multilinear iterated commutator, BMO function, Sharp maximal function |
| 英文关键词:Multilinear strongly singular Calder'{o}n-Zygmund operator, Multilinear iterated commutator, BMO function, Sharp maximal function |
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| 中文摘要: |
| 本文主要建立了由多线性强奇异 Calder\'{o}n-Zygmund 算子和BMO函数生成的多线性迭代交换子的Sharp极大估计.
作为应用, 也分别得到了该类多线性迭代交换子在乘积加权Lebesgue空间和乘积变指数Lebesgue空间上的有界性. |
| 英文摘要: |
| In this paper, the authors aim to establish the Sharp maximal estimates for the multilinear
iterated commutators generated by BMO functions and multilinear strongly singular Calder\'{o}n-Zygmund
operators. As applications, the boundedness on product of weighted Lebesgue spaces and product of
variable exponent Lebesgue spaces can be obtained, respectively. |
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