3-Complex Symmetric and Complex Normal Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane

Autor:	Zhi-Jie Jiang
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	weighted Bergman space weighted composition operator 3-complex symmetric operator complex normal operator right half-plane Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 7, p 980 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12070980
Popis:	One of the aims of this paper is to characterize 3-complex symmetric weighted composition operators induced by three types of symbols on the weighted Bergman space of the right half-plane with the conjugation Jf(z)=f(z¯)¯. It is well known that the complex symmetry is equivalent to 2-complex symmetry for the weighted composition operators studied in the paper. However, the interesting fact that 3-complex symmetry is not equivalent to 2-complex symmetry for such operators is found in the paper. Finally, the complex normal of such operators on the weighted Bergman space of the right half-plane with the conjugation J is characterized.
Databáze:	Directory of Open Access Journals
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