| 高维乘积空间上分数次Hardy算子的最佳界 |
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| 作者姓名： | 李翔 魏明权 燕敦验 |
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| 作者单位： | 1.中国科学院大学数学科学学院, 北京 100049;2.信阳师范学院数学与统计学院, 河南 信阳 464000 |
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| 基金项目： | Supported by the National Nature Science Foundation of China (11471039), Project of Henan Provincial Department of Education (18A110028), and the Nanhu Scholar Program for Young Scholars of Xinyang Normal University |
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| 摘 要： | 得到高维乘积空间上分数次Hardy算子从L1（Rn1×…×Rnm）到wLQ（Rn1×…×Rnm）的最佳界。更一般地，还得到高维乘积空间上分数次Hardy算子从LP（Rn1×…×Rnm）到LQI（Rn1×…×Rnm）的算子范数。
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| 关 键 词： | 分数次哈代算子 算子范数 乘积空间 LQI |
| 收稿时间： | 2019-01-15 |
| 修稿时间： | 2019-02-26 |
Sharp bounds for fractional Hardy operator on higher-dimensional product spaces |
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| Authors: | LI Xiang WEI Mingquan YAN Dunyan |
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| Institution: | 1.School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;2.School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, Henan, China |
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| Abstract: | In this paper, we get the sharp bounds for fractional Hardy operator on higherdimensional product spaces from L1(Rn1×…×Rnm) to the space wLQ(Rn1×…×Rnm). More generally, the norm of fractional Hardy operator on higher-dimensional product spaces from LP(Rn1×…×Rnm) to LQI(Rn1×…×Rnm) is obtained. |
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| Keywords: | fractional Hardy operator operator norm product space LQI" target="_blank">LQI')">LQI |
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