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arXiv · 2409.11371

Ces\`aro operators on the space of analytic functions with logarithmic growth

José Bonet
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Abstract

Continuity, compactness, the spectrum and ergodic properties of Ces\`aro operators are investigated when they act on the space $VH(\mathbb{D})$ of analytic functions with logarithmic growth on the open unit disc $\mathbb{D}$ of the complex plane. The space $VH(\mathbb{D})$ is a countable inductive limit of weighted Banach spaces of analytic functions with compact linking maps. It was introduced and studied by Taskinen and also by Jasiczak.

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José Bonet. 2024-09-17. Ces\`aro operators on the space of analytic functions with logarithmic growth. https://arxiv.org/abs/2409.11371

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