TOEPLITZ OPERATORS WITH POSITIVE OPERATOR-VALUED SYMBOLS ON VECTOR-VALUED GENERALIZED FOCK SPACES  

作　　者：Jianjun CHEN Xiaofeng WANG Jin XIA 陈建军;王晓峰;夏锦(School of Mathematics and Statistics,Zhaoqing University,Zhaoqing 526061,China;School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute,Guangzhou University,Guangzhou 510006,China)

机构地区：[1]School of Mathematics and Statistics,Zhaoqing University,Zhaoqing 526061,China [2]School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute,Guangzhou University,Guangzhou 510006,China

出　　处：《Acta Mathematica Scientia》2020年第3期625-640,共16页数学物理学报（B辑英文版）

基　　金：Supported by National Natural Science Foundation of China(11471084,11301101,11971125);Young Innovative Talent Project of Department of Edcucation of Guangdong Province(2017KQNCX220);the Natural Research Project of Zhaoqing University(221622).

摘　　要：In this article,we study some characterizations of Toeplitz operators with positive operator-valued function as symbols on the vector-valued generalized Bargmann-Fock spaces Fψ^2.Main results including Fock-Carleson condition,bounded Toeplitz operators,compact Toeplitz operators,and Toeplitz operators in the Schatten-p class are all considered.

关 键 词：Toeplitz operator operator-valued symbol generalized Fock space 

分 类 号：O177[理学—数学]