Year: 2019
Type: preprint
Abstract: In this paper, we investigate the normal weighed composition operators $W_{ψ,φ}$ which is $\mathcal{J}-$symmetric, $\mathcal{C}_1-$symmetric and $\mathcal{C}_2-$symmetric on the Hardy space $H^2(\mathbb{D})$ respectively. Firstly, equivalent conditions of the normality of $\mathcal{C}_1-$symmetric and $\mathcal{C}_2-$symmetric weighted composition operators on $H^2(\mathbb{D})$ is given. Furthermore, the normal $\mathcal{J}-$symmetric, $\mathcal{C}_1-$symmetric and $\mathcal{C}_2-$symmetric weighted composition operators on $H^2(\mathbb{D})$ when $φ$ has an interior fixed point, $φ$ is of hyperbolic type or parabolic type are respectively investigated.
Source: arXiv (Cornell University)
Authors: Zhou, Hang, Zhou, Ze-Hua
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2907708000