| 由Campanato型函数和与薛定谔算子相关的Riesz变换生成的Toeplitz算子的有界性 |
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| 引用本文： | 默会霞,余东艳,隋鑫.由Campanato型函数和与薛定谔算子相关的Riesz变换生成的Toeplitz算子的有界性[J].数学杂志,2017,37(2):239-246. |
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| 作者姓名： | 默会霞 余东艳 隋鑫 |
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| 作者单位： | 北京邮电大学理学院, 北京 100876,北京邮电大学理学院, 北京 100876,北京邮电大学理学院, 北京 100876 |
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| 基金项目： | Supported by National Natural Science Foundation of China (11161042; 11471050; 11601035). |
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| 摘 要： | 本文研究了由Campanato型函数及与Schrödinger算子相关的Riesz变换生成的Toeplitz算子的有界性.利用Sharp极大函数估计得到了Toeplitz算子Θb在Lebesgue空间的有界性，拓广了已有交换子的结果.
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| 关 键 词： | 交换子 Campanato型函数 Riesz变换 Schrö dinger算子 |
| 收稿时间： | 2014/9/28 0:00:00 |
| 修稿时间： | 2015/2/28 0:00:00 |
BOUNDEDNESS OF TOEPLITZ OPERATORS GENERATED BY THE CAMPANATO-TYPE FUNCTIONS AND RIESZ TRANSFORMS ASSOCIATED WITH SCHÖDINGER OPERATORS |
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| MO Hui-xi,YU Dong-yan and SUI Xin.BOUNDEDNESS OF TOEPLITZ OPERATORS GENERATED BY THE CAMPANATO-TYPE FUNCTIONS AND RIESZ TRANSFORMS ASSOCIATED WITH SCHÖDINGER OPERATORS[J].Journal of Mathematics,2017,37(2):239-246. |
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| Authors: | MO Hui-xi YU Dong-yan and SUI Xin |
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| Institution: | School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China,School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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| Abstract: | |
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| Keywords: | Commutator Campanato-type functions Riesz transform Schrödinger operator |
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