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Generalized weighted composition operators on weighted Hardy spaces
- Publication Year :
- 2022
-
Abstract
- In this paper, we investigate the complex symmetric structure of generalized weighted composition operators $D_{m,\psi,\varphi}$ on the weighted Hardy space $H^2(\beta)$. We obtain explicit conditions for $ D_{m,\psi,\varphi}$ to be complex symmetric with the conjugation $J_w$. Under the assumption that $ D_{m,\psi,\varphi}$ is $J_w$-symmetric, some sufficient and necessary conditions for $D_{m,\psi,\varphi}$ to be Hermitian and normal are given.<br />Comment: 16 pages
- Subjects :
- Mathematics - Functional Analysis
Mathematics - Complex Variables
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2204.10489
- Document Type :
- Working Paper