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arXiv · 2204.10489

Generalized weighted composition operators on weighted Hardy spaces

Lian Hu·Songxiao Li·Rong Yang
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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.

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Lian Hu, Songxiao Li, Rong Yang. 2022-04-22. Generalized weighted composition operators on weighted Hardy spaces. https://arxiv.org/abs/2204.10489

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