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（英文）

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

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θ~b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¨odinge operators. Using the sharp maximal function estimate, we establish the boundedness of the Toeplitz operator θ~b on the Lebesgue space, which extend the previous results about the comutators.