Dominant sets for model spaces in several variables
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916219981922304 |
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| author | Aleksandrov, Aleksei B. Doubtsov, Evgueni |
| author_facet | Aleksandrov, Aleksei B. Doubtsov, Evgueni |
| contents | Let $I$ be an inner function in $\mathcal{D} = B_{n_1}\times B_{n_2}\cdots \times B_{n_k}$, where $B_n$ denotes the open unit ball of $\mathbb{C}^n$, $n\ge 1$. We construct dominant sets for the space $H^2 \ominus I H^2$, where $H^2 = H^2(\mathcal{D})$ denotes the standard Hardy space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_11025 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dominant sets for model spaces in several variables Aleksandrov, Aleksei B. Doubtsov, Evgueni Complex Variables Functional Analysis 32A35 30J05 31C10 32A26 46E22 Let $I$ be an inner function in $\mathcal{D} = B_{n_1}\times B_{n_2}\cdots \times B_{n_k}$, where $B_n$ denotes the open unit ball of $\mathbb{C}^n$, $n\ge 1$. We construct dominant sets for the space $H^2 \ominus I H^2$, where $H^2 = H^2(\mathcal{D})$ denotes the standard Hardy space. |
| title | Dominant sets for model spaces in several variables |
| topic | Complex Variables Functional Analysis 32A35 30J05 31C10 32A26 46E22 |
| url | https://arxiv.org/abs/2305.11025 |