Composition Operators on $\bf H^{p,q,s}(B_{n})$ of $\bf \mathbb{C}^{n}$
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912373812494336 |
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| author | Chen, H. Zhang, X. |
| author_facet | Chen, H. Zhang, X. |
| contents | Let $B_{n}$ be the unit ball in the complex vector space $\mathbb{C}^{n}$, and let $φ: B_{n}\rightarrow B_{n}$ be a holomorphic mapping. In this paper, we characterize those symbols $φ$ such that composition operators $C_φ$ are bounded or compact on the general Hardy type space $H^{p,q,s}(B_{n})$. These results extend the relevant results on Hardy space and some other classical function spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_08661 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Composition Operators on $\bf H^{p,q,s}(B_{n})$ of $\bf \mathbb{C}^{n}$ Chen, H. Zhang, X. Complex Variables Let $B_{n}$ be the unit ball in the complex vector space $\mathbb{C}^{n}$, and let $φ: B_{n}\rightarrow B_{n}$ be a holomorphic mapping. In this paper, we characterize those symbols $φ$ such that composition operators $C_φ$ are bounded or compact on the general Hardy type space $H^{p,q,s}(B_{n})$. These results extend the relevant results on Hardy space and some other classical function spaces. |
| title | Composition Operators on $\bf H^{p,q,s}(B_{n})$ of $\bf \mathbb{C}^{n}$ |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2505.08661 |