2-complex symmetric weighted composition operators on Fock space

被引:2
|
作者
Bai, Hong-bin [1 ]
Jiang, Zhi-jie [1 ,2 ]
Hu, Xiao-bo [3 ]
Li, Zuo-an [1 ]
机构
[1] Sichuan Univ Sci & Engn, Sch Math & Stat, Zigong 643000, Sichuan, Peoples R China
[2] Sichuan Univ Sci & Engn, South Sichuan Ctr Appl Math, Zigong 643000, Sichuan, Peoples R China
[3] Meishan Vocat & Tech Coll, Dept Normal Educ, Meishan 620010, Sichuan, Peoples R China
来源
AIMS MATHEMATICS | 2023年 / 8卷 / 09期
关键词
Fock space; weighted composition operator; 2-complex symmetric operator; reproducing; kernel function;
D O I
10.3934/math.20231111
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of the present paper is to completely characterize 2-complex symmetric weighted composition operators Wepz,az+b with the conjugations C and Cr,s,t defined by Cf (z) = f(z over bar ) and Cr,s,tf (z) = tesz f(rz + s) on Fock space by building the relations between the parameters a, b, p, r, s and t. Some of such are also
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页码:21781 / 21792
页数:12
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