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

作　　者：默会霞[1] 余东艳 隋鑫[1] MO Hui-xia YU Dong-yan SUI Xin(School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China)

机构地区：[1]北京邮电大学理学院,北京100876

出　　处：《数学杂志》2017年第2期239-246,共8页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11161042;11471050;11601035)

摘　　要：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.

关 键 词：交换子 Campanato型函数 RIESZ变换 Schrdinger算子 

分 类 号：O174.2[理学—数学]