Generalized Cesàro operators in the disc algebra and in Hardy spaces
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912067796074496 |
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| author | Albanese, Angela A. Bonet, José Ricker, Werner J. |
| author_facet | Albanese, Angela A. Bonet, José Ricker, Werner J. |
| contents | Generalized Cesàro operators $C_t$, for $t\in [0,1)$, are investigated when they act on the disc algebra $A(\mathbb{D})$ and on the Hardy spaces $H^p$, for $1\leq p \leq \infty$. We study the continuity, compactness, spectrum and point spectrum of $C_t$ as well as their linear dynamics and mean ergodicity on these spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08056 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized Cesàro operators in the disc algebra and in Hardy spaces Albanese, Angela A. Bonet, José Ricker, Werner J. Functional Analysis Primary 46E15, Secondary 47B38 Generalized Cesàro operators $C_t$, for $t\in [0,1)$, are investigated when they act on the disc algebra $A(\mathbb{D})$ and on the Hardy spaces $H^p$, for $1\leq p \leq \infty$. We study the continuity, compactness, spectrum and point spectrum of $C_t$ as well as their linear dynamics and mean ergodicity on these spaces. |
| title | Generalized Cesàro operators in the disc algebra and in Hardy spaces |
| topic | Functional Analysis Primary 46E15, Secondary 47B38 |
| url | https://arxiv.org/abs/2410.08056 |