A Bloch-type space and the predual of $A_λ^1$ on the Siegel upper half-space
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917247214157824 |
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| author | Liu, Congwen Si, Jiajia |
| author_facet | Liu, Congwen Si, Jiajia |
| contents | This paper aims to determine the predual of the Bergman space $A_λ^1$ on the Siegel upper half-space. To achieve this, a Bloch-type space $\widetilde{\calB}$ is introduced and studied, and some of its essential properties are established. We identify the little Bloch-type space $\widetilde{\calB}_0$ with the predual of $A_λ^1$ via a duality pairing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_20402 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Bloch-type space and the predual of $A_λ^1$ on the Siegel upper half-space Liu, Congwen Si, Jiajia Complex Variables Primary 32A10, Secondary 32A18, 32A36 This paper aims to determine the predual of the Bergman space $A_λ^1$ on the Siegel upper half-space. To achieve this, a Bloch-type space $\widetilde{\calB}$ is introduced and studied, and some of its essential properties are established. We identify the little Bloch-type space $\widetilde{\calB}_0$ with the predual of $A_λ^1$ via a duality pairing. |
| title | A Bloch-type space and the predual of $A_λ^1$ on the Siegel upper half-space |
| topic | Complex Variables Primary 32A10, Secondary 32A18, 32A36 |
| url | https://arxiv.org/abs/2409.20402 |