| 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. |
| 关键词: 交换子 Campanato型函数 Riesz变换 Schrödinger算子 |
| DOI： |
| 分类号:O174.2 |
| 基金项目:Supported by National Natural Science Foundation of China (11161042; 11471050; 11601035). |
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| BOUNDEDNESS OF TOEPLITZ OPERATORS GENERATED BY THE CAMPANATO-TYPE FUNCTIONS AND RIESZ TRANSFORMS ASSOCIATED WITH SCHÖDINGER OPERATORS |
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MO Hui-xia, YU Dong-yan, SUI Xin
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School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
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| Abstract: |
| In the paper,we study the boundedness of the Toeplitz operators generated by the Campanato-type functions and Riesz transforms associated with the Schrödinge operators.Using the sharp maximal function estimate,we establish the boundedness of the Toeplitz operator Θb on the Lebesgue space,which extend the previous results about the comutators. |
| Key words: Commutator Campanato-type functions Riesz transform Schrödinger operator |
