2-解析Bergman空间上的Toeplitz算子  

Toeplitz Operators on 2-Analytic Bergman Space

作　　者：余白瑞 张波 胡健 YU Bairui;ZHANG Bo;HU Jian(School of Mathematics and Information Sciences,Yantai University,Yantai 264005,China)

机构地区：[1]烟台大学数学与信息科学学院,山东烟台264005

出　　处：《烟台大学学报（自然科学与工程版）》2024年第3期249-255,共7页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：山东省自然科学基金资助项目(ZR2021MA015)。

摘　　要：研究了2-解析Bergman空间上的Toeplitz算子,借助Mellin变换,得到一个Toeplitz算子是拟齐次Toeplitz算子的充要条件。借助Toeplitz算子系数矩阵的性质,分别给出拟齐次Toeplitz算子以及径向Toeplitz算子半交换的充要条件。A discussion is made on Toeplitz operators on the 2-analytic Bergman space.By means of Mellin transform,one sufficient and necessary condition is given for a Toeplitz operator to be quasihomogeneous symbol.With the properties of the coefficient matrix of Toeplitz operators,we study the semicommutators of quasihomogeneous Toeplitz operators and radial Toeplitz ones,and obtain some corresponding sufficient and necessary conditions.

关 键 词：2-解析Bergman空间 TOEPLITZ算子 半交换子 Mellin变换 

分 类 号：O177.1[理学—数学]