| 内蕴平方函数在分数次Morrey空间上的加权有界性 |
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| 引用本文： | 李瑞,陶双平.内蕴平方函数在分数次Morrey空间上的加权有界性[J].吉林大学学报(理学版),2020,58(4):782-790. |
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| 作者姓名： | 李瑞 陶双平 |
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| 作者单位： | 西北师范大学 数学与统计学院, 兰州 730070 |
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| 摘 要： | 利用Ap权估计和函数分解方法, 借助Lp空间上的加权估计, 证明内蕴平方函数、 内蕴Littlewood-Paley g和g*λ函数在广义分数次Morrey空间上的加权有界性, 并给出相应BMO交换子的加权有界性.
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| 关 键 词： | 内蕴平方函数 交换子 广义分数次Morrey空间 加权有界性 |
| 收稿时间： | 2019-11-18 |
Weighted Boundedness of Intrinsic SquareFunctions on Fractional Morrey Spaces |
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| LI Rui,TAO Shuangping.Weighted Boundedness of Intrinsic SquareFunctions on Fractional Morrey Spaces[J].Journal of Jilin University: Sci Ed,2020,58(4):782-790. |
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| Authors: | LI Rui TAO Shuangping |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | By using the weight estimation of Ap and the function decompositions method, and by means of the weighted estimation on the Lp spaces, we proved the weighted boundedness of the intrinsic square functions, intrinsic Littlewood-Paley g and g*λfunctions on the generalized fractional Morrey spaces, and gave the weighted boundedness of the corresponding BMO commutators. |
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| Keywords: | intrinsic square function commutator generalized fractional Morrey space weighted boundedness |
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