| 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
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| 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). |
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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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