Shadowing phenomenon for composition operators on the Hardy space $H^2(\mathbb{D})$
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866912961227915264 |
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| author | Blois, Artur Eidt, Ben-Hur Lupatini, Paulo Severiano, Osmar R. |
| author_facet | Blois, Artur Eidt, Ben-Hur Lupatini, Paulo Severiano, Osmar R. |
| contents | Let $ϕ$ be a holomorphic self-map of the open unit disk $\mathbb{D}.$ In this article, we study the shadowing phenomenon for composition operators $C_ϕf=f\circ ϕ$ on the Hardy space $H^2(\mathbb{D}).$ We mainly characterize all the composition operators induced by linear fractional self-maps of $\mathbb{D}$ that have the positive shadowing property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_10575 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Shadowing phenomenon for composition operators on the Hardy space $H^2(\mathbb{D})$ Blois, Artur Eidt, Ben-Hur Lupatini, Paulo Severiano, Osmar R. Dynamical Systems Complex Variables 2020: Primary 47B33, 37B65, Secondary 30H10 Let $ϕ$ be a holomorphic self-map of the open unit disk $\mathbb{D}.$ In this article, we study the shadowing phenomenon for composition operators $C_ϕf=f\circ ϕ$ on the Hardy space $H^2(\mathbb{D}).$ We mainly characterize all the composition operators induced by linear fractional self-maps of $\mathbb{D}$ that have the positive shadowing property. |
| title | Shadowing phenomenon for composition operators on the Hardy space $H^2(\mathbb{D})$ |
| topic | Dynamical Systems Complex Variables 2020: Primary 47B33, 37B65, Secondary 30H10 |
| url | https://arxiv.org/abs/2603.10575 |