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arXiv · 2308.05230

Generalized Weighted Composition Operators on Vector-Valued Weighted Bergman Space

Anuradha Gupta·Geeta Yadav
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Abstract

In this research article the necessary and sufficient conditions for the norm of composition operator $C_{\Phi}$ on $\mathcal{A}_{\alpha}^2(H)$ to be one are obtained. Moreover, $C_{\Phi}$ is unitary on $\mathcal{A}_{\alpha}^2(H)$ if and only if it is co-isometry. The necessary and sufficient condition for Hermitian and normal composition operators on $\mathcal{A}_{\alpha}^2(H)$ are also explored. Also, the characterization for boundeness of generalized weighted composition operator is obtained under some condition on $\Phi.$

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BibTeXRIS

Anuradha Gupta, Geeta Yadav. 2023-08-09. Generalized Weighted Composition Operators on Vector-Valued Weighted Bergman Space. https://arxiv.org/abs/2308.05230

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