| 加权Morrey空间上多线性奇异积分的振荡及变分算子的有界性 |
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| 引用本文： | 朱敏,陶双平. 加权Morrey空间上多线性奇异积分的振荡及变分算子的有界性[J]. 吉林大学学报(理学版), 2021, 59(4): 719-724. DOI: 10.13413/j.cnki.jdxblxb.2020378 |
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| 作者姓名： | 朱敏 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： | 借助Lp空间上的估计,利用Ap权不等式和函数分解方法,给出多线性奇异积分和有界平均振荡(BMO)函数交换子的振荡及变分算子在加权Morrey空间上的有界性.
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| 关 键 词： | 加权Morrey空间 多线性奇异积分 振荡算子 变分算子 |
| 收稿时间： | 2020-11-27 |
Boundedness of Oscillation and Variation Operators for Multilinear Singular Integrals on Weighted Morrey Spaces |
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| ZHU Min,TAO Shuangping. Boundedness of Oscillation and Variation Operators for Multilinear Singular Integrals on Weighted Morrey Spaces[J]. Journal of Jilin University: Sci Ed, 2021, 59(4): 719-724. DOI: 10.13413/j.cnki.jdxblxb.2020378 |
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| Authors: | ZHU Min TAO Shuangping |
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| Affiliation: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | By means of the estimation on Lp space, and by using Ap weight inequality and function decomposition method, we gave the boundedness of the oscillation and variation operators for the commutators of the multilinear singlar integrals with bounded mean oscillation (BMO) functions on the weighted Morrey spaces. |
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| Keywords: | weighted Morrey space multilinear singular integral oscillation operator variation operator |
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