| Marcinkiewicz积分交换子在加权Morrey空间上的有界性 |
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| 引用本文： | 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(中文版),2014,35(6):685-696. |
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| 作者姓名： | 吴翠兰 王云杰 束立生 |
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| 作者单位： | 江苏师范大学数学与统计学院, 江苏 徐州 221116.;江苏师范大学科文学院, 江苏 徐州 221116.;安徽师范大学数学计算机科学学院, 安徽 芜湖 241003. |
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| 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μΩ与Lipschitz函数b生成的交换子μΩ,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.
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| 关 键 词： | Marcinkiewicz积分 交换子 $A_p$权 加权Morrey空间 |
Boundedness of Commutators Related to Marcinkiewicz Integrals on Weighted
Morrey Spaces |
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| WU Cuilan,WANG Yunjie and SHU Lisheng.Boundedness of Commutators Related to Marcinkiewicz Integrals on Weighted
Morrey Spaces[J].Chinese Annals of Mathematics,2014,35(6):685-696. |
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| Authors: | WU Cuilan WANG Yunjie and SHU Lisheng |
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| Institution: | School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, Jiangsu, China.;Kewen Institute, Jiangsu Normal University, Xuzhou 221116, Jiangsu, China.;College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui, China. |
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| Abstract: | 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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| Keywords: | Marcinkiewicz integral Commutator $A_p$ weight Weighted Morrey space |
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