Composition operators between model and Hardy spaces
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866913006745550848 |
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| author | Doubtsov, Evgueni |
| author_facet | Doubtsov, Evgueni |
| contents | Let $n\ge 1$ and $φ: \mathbb{D}^n\to\mathbb{D}$ be a holomorphic function, where $\mathbb{D}$ denotes the open unit disk of $\mathbb{C}$. Let $Θ: \mathbb{D} \to \mathbb{D}$ be an inner function and $K^p_Θ$, $p>0$, denote the corresponding model space. We obtain characterizations of the compact composition operators $C_φ: K^p_Θ\to H^p(\mathbb{D}^n)$, $1<p<\infty$, where $H^p(\mathbb{D}^n)$ denotes the Hardy space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_04054 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Composition operators between model and Hardy spaces Doubtsov, Evgueni Complex Variables 32A35, 47B33, 46B70 Let $n\ge 1$ and $φ: \mathbb{D}^n\to\mathbb{D}$ be a holomorphic function, where $\mathbb{D}$ denotes the open unit disk of $\mathbb{C}$. Let $Θ: \mathbb{D} \to \mathbb{D}$ be an inner function and $K^p_Θ$, $p>0$, denote the corresponding model space. We obtain characterizations of the compact composition operators $C_φ: K^p_Θ\to H^p(\mathbb{D}^n)$, $1<p<\infty$, where $H^p(\mathbb{D}^n)$ denotes the Hardy space. |
| title | Composition operators between model and Hardy spaces |
| topic | Complex Variables 32A35, 47B33, 46B70 |
| url | https://arxiv.org/abs/2604.04054 |