2-complex symmetric weighted composition operators on Fock space-Reference-Cited by-同舟云学术

2-complex symmetric weighted composition operators on Fock space

Published:2023 Issue:9 Volume:8 Page:21781-21792
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Bai Hong-bin¹,Jiang Zhi-jie¹²,Hu Xiao-bo³,Li Zuo-an¹

Affiliation:

1. School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, China

2. South Sichuan Center for Applied Mathematics, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, China

3. Department of Normal Education, Meishan Vocational and Technical College, Meishan, Sichuan, 620010, China

Abstract

<abstract><p>The aim of the present paper is to completely characterize 2-complex symmetric weighted composition operators $ W_{e^{\overline{p}z, az+b}} $ with the conjugations $ C $ and $ C_{r, s, t} $ defined by $ Cf(z) = \overline{f(\bar{z})} $ and $ C_{r, s, t}f(z) = te^{sz}\overline{f(\overline{rz+s})} $ on Fock space by building the relations between the parameters $ a $, $ b $, $ p $, $ r $, $ s $ and $ t $. Some examples of such operators are also given.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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