| D(Rn)函数的Riesz变换的一个注记 |
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| 作者姓名： | 魏明权 沈峰 燕敦验 |
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| 作者单位： | 1. 信阳师范学院数学与统计学院, 河南 信阳 464000;
2. 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 the National Nature Science Foundation of China (11471309, 11271162, and 11561062), and Project of Henan Provincial Department of Education(18A110028) |
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| 摘 要： | 证明，对于任意一个非零D（Rn）函数f，它的Riesz变换Rjf不具有紧支集。这推广了已知的Hilbert变换的结果。
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| 关 键 词： | Riesz变换 D(Rn) 紧支集 |
| 收稿时间： | 2016-06-08 |
| 修稿时间： | 2016-07-13 |
A note of Riesz transform on D(Rn) |
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| Authors: | WEI Mingquan SHEN Feng YAN Dunyan |
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| Institution: | 1. School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, Henan, China;
2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | In this work, we prove that, for a non-zero function f ∈ D(Rn), its Riesz transform Rjf does not have compact support, which improves the known result of Hilbert transform. |
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| Keywords: | Riesz transform D(Rn)" target="_blank">D(Rn)')">D(Rn) compact support |
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