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-  2017 

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
BOUNDEDNESS OF TOEPLITZ OPERATORS GENERATED BY THE CAMPANATO-TYPE FUNCTIONS AND RIESZ TRANSFORMS ASSOCIATED WITH SCH?DINGER OPERATORS

Keywords: 交换子 Campanato型函数 Riesz变换 Schr? dinger算子
Commutator Campanato-type functions Riesz transform Schr?dinger operator

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Abstract:

本文研究了由Campanato型函数及与Schr?dinger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.
In the paper,we study the boundedness of the Toeplitz operators generated by the Campanato-type functions and Riesz transforms associated with the Schr?dinge 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

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