| Marcinkiewicz积分交换子在变指标Herz型空间上的连续性 |
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| 作者姓名： | 王洪彬 |
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| 作者单位： | 山东理工大学数学与统计学院, 山东 淄博 255049;中国科学院大学数学科学学院, 北京 100049 |
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| 基金项目： | Supported by Shandong Provincial Natural Science Foundation(ZR2017MA041), Shandong Province Higher Educational Science and Technology Program (J18KA225), China Postdoctoral Science Foundation (2016M601105) and National Natural Science Foundation of China(11926343,11926342,11761026) |
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| 摘 要： | 研究由带粗糙核的Marcinkiewicz积分算子μΩ和Lipschitz函数b生成的交换子b，μΩ]在变指标Herz型空间上的连续性，其中Ω∈Ls（Sn-1）且s ≥ 1.
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| 关 键 词： | Herz型空间 变指标 Marcinkiewicz积分 粗糙核 连续性 |
| 收稿时间： | 2018-08-16 |
| 修稿时间： | 2018-12-26 |
The continuity for commutators of Marcinkiewicz integrals on Herz-type space with variable exponent |
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| Authors: | WANG Hongbin |
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| Institution: | School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, Shandong, China;School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | In this paper, we study the continuity of the commutatorsb, μΩ] generated by Marcinkiewicz integral operators with rough kernels μΩ and Lipschitz functions b on the Herz-type space with variable exponent, where Ω∈LS(Sn-1) for s ≥ 1. |
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| Keywords: | Herz-type space variable exponent Marcinkiewicz integral rough kernel continuity |
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