2-complex symmetric weighted composition operators on Fock space
| Autor: | Hong-bin Bai, Zhi-jie Jiang, Xiao-bo Hu, Zuo-an Li |
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| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | AIMS Mathematics, Vol 8, Iss 9, Pp 21781-21792 (2023) |
| Druh dokumentu: | article |
| ISSN: | 2473-6988 |
| DOI: | 10.3934/math.20231111?viewType=HTML |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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