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

C^(N)上Fock空间上的2-复对称加权复合算子

作　　者：JIANG Zhijie 江治杰(四川轻化工大学数学与统计学院,四川自贡643000;四川轻化工大学川南应用数学研究中心,四川自贡643000)

机构地区：[1]School of Mathematics and Statistics,Sichuan University of Science and Engineering,Zigong,Sichuan,643000,P.R.China [2]South Sichuan Center for Applied Mathematics,Sichuan University of Science and Engineering,Zigong,Sichuan,643000,P.R.China

出　　处：《数学进展》2025年第1期37-49,共13页Advances in Mathematics(China)

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

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.本文研究C^(N)上Fock空间上的2-复对称加权复合算子,涉及的共轭算子分别由■给出,其中k(z_(1),...,z_(N))=(■,...,■),t∈C,b∈C^(N)且A是C^(N)上的线性算子.还给出了一个关于共轭算子J_(t,A,b)的2-复对称有界加权复合算子的例子.

关 键 词：Fock space weighted composition operator 2-complex symmetric operator reproducing kernel function 

分 类 号：O174.56[理学—数学]