2-complex Symmetric Weighted Composition Operators on Fock Space of C^(N)

作     者：JIANG Zhijie 江治杰

作者机构：School of Mathematics and StatisticsSichuan University of Science and EngineeringZigongSichuan643000P.R.China South Sichuan Center for Applied MathematicsSichuan University of Science and EngineeringZigongSichuan643000P.R.China 

出 版 物：《数学进展》 (Advances in Mathematics(China))

年 卷 期：2025年第54卷第1期

页      面：37-49页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by Sichuan Science and Technology Program (No.2022ZYD0010) 

主　　题：Fock space weighted composition operator 2-complex symmetric operator reproducing kernel function 

摘      要：The aim of the present paper is to study 2-complex symmetric bounded weighted composition operators on the Fock space of C^(N) with the conjugations J and J_(t,A,b) defined by ■ respectively,where k(z_(1),...,z_N)=(■,...,■),t∈C,b∈C^(N) and A is a linear operator on C^(N).An example of 2-complex symmetric bounded weighted composition operator with the conjugation J_(t,A,b) is given.