| 吴翠兰,王云杰,束立生.Marcinkiewicz积分交换子在加权Morrey空间上的有界性[J].数学年刊A辑,2014,35(6):685~696 |
| Marcinkiewicz积分交换子在加权Morrey空间上的有界性 |
| Boundedness of Commutators Related to Marcinkiewicz Integrals on WeightedMorrey Spaces |
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| DOI： |
| 中文关键词: Marcinkiewicz积分, 交换子, $A_p$权, 加权Morrey空间 |
| 英文关键词:Marcinkiewicz integral, Commutator, $A_p$ weight, Weighted Morrey space |
| 基金项目: |
| Author Name | Affiliation | E-mail | | WU Cuilan | School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, Jiangsu, China. | w-cuilan@126.com | | WANG Yunjie | Kewen Institute, Jiangsu Normal University, Xuzhou 221116, Jiangsu, China. | w-yunjie@126.com | | SHU Lisheng | College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui, China. | shulsh@mail.ahnu.edu.cn |
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| 中文摘要: |
| Marcinkiewicz 积分是分析中的一类被广泛研究的重要算子. 利用Marcinkiewicz积分算子$\mu_\Omega$与Lipschitz函数$b$生成的交换子$\mu_{\Omega,b}$在加权$L^p$空间上的有界性, 研究了它在加权Morrey空间上的有界性. |
| 英文摘要: |
| The Marcinkiewicz integrals are a class of important operators which are widely studied in analysis. By using the boundedness of the commutator
$\mu_{\Omega,b},$ generated by the Marcinkiewicz integral $\mu_\Omega$ and a Lipschitz function $b$ on weighted $L^p$ spaces, the authors study the
boundedness of $\mu_{\Omega,b}$ on weighted Morrey spaces. |
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