Cohyponormal Weighted Composition Operators on the Fock Space over $\mathbb{C}^N$
Received:February 27, 2023  Revised:September 26, 2023
Key Words: Fock space   weighted composition operator   hyponormal   cohyponormal   posinormal   coposinormal  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.12271134), Shanxi Scholarship Council of China (Grant No.2020-089) and Program of Graduate Bilingual Curriculum Construction in Shanxi Normal University (Grant No.YJSSY201903).
Author NameAffiliation
Lixia FENG School of Mathematics and Computer Science, Shanxi Normal University, Shanxi 030031, P. R. China 
Liankuo ZHAO School of Mathematics and Computer Science, Shanxi Normal University, Shanxi 030031, P. R. China 
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Abstract:
      In this paper, cohyponormal weighted composition operators on the Fock space over $\mathbb{C}^N$ are characterized completely. We also consider a class of weighted composition operators on the Fock space over $\mathbb{C}^N$ which are both posinormal and coposinormal. As an application, we obtain the characterization of hyponormal, cohyponormal, posinormal and coposinormal composition operators on the Fock space over $\mathbb{C}^N$.
Citation:
DOI:10.3770/j.issn:2095-2651.2024.02.010
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