Cesàro operators on the space of analytic functions with logarithmic growth
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929502337105920 |
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| author | Bonet, José |
| author_facet | Bonet, José |
| contents | Continuity, compactness, the spectrum and ergodic properties of Cesàro 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11371 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cesàro operators on the space of analytic functions with logarithmic growth Bonet, José Functional Analysis Primary: 47B91, secondary: 46E10, 46E15, 47A10, 47A16, 47A35, 47B38 Continuity, compactness, the spectrum and ergodic properties of Cesàro 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. |
| title | Cesàro operators on the space of analytic functions with logarithmic growth |
| topic | Functional Analysis Primary: 47B91, secondary: 46E10, 46E15, 47A10, 47A16, 47A35, 47B38 |
| url | https://arxiv.org/abs/2409.11371 |