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Power bounded weighted composition operators and power bounded below composition operators

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In this paper, we characterize power bounded weighted composition operators on weighted Bergman spaces of strongly pseudoconvex bounded domains in \({\mathbb {C}}^n\). Also, we introduce the notion of power bounded below operators, then, for \(\alpha >0\), we characterize power bounded below composition operators on \({\mathcal {D}}_\alpha \), the weighted Dirichlet space on the unit disk of the complex plane.

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  1. Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran

    Hamzeh Keshavarzi

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  1. Hamzeh Keshavarzi
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Keshavarzi, H. Power bounded weighted composition operators and power bounded below composition operators. Collect. Math. 71, 205–221 (2020). https://doi.org/10.1007/s13348-019-00257-2

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