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| Format: | Preprint |
| Publié: |
2026
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2603.25483 |
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| _version_ | 1866910075747041280 |
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| author | Clos, Timothy G. |
| author_facet | Clos, Timothy G. |
| contents | We characterize Hilbert-Schmidt Hankel operators on the Bergman spaces of smooth bounded strongly pseudoconvex domains in $\mathbb{C}^n$ for $n \geq 2$. We consider harmonic symbols of class $C^3$ up to the closure of the domain and show $H_ϕ$ is Hilbert-Schmidt if and only if $ϕ$ is holomorphic on the domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25483 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hilbert-Schmidt Hankel operators with harmonic symbols on the Bergman space of strongly pseudoconvex domains in $\mathbb{C}^n$ Clos, Timothy G. Complex Variables 47B35 We characterize Hilbert-Schmidt Hankel operators on the Bergman spaces of smooth bounded strongly pseudoconvex domains in $\mathbb{C}^n$ for $n \geq 2$. We consider harmonic symbols of class $C^3$ up to the closure of the domain and show $H_ϕ$ is Hilbert-Schmidt if and only if $ϕ$ is holomorphic on the domain. |
| title | Hilbert-Schmidt Hankel operators with harmonic symbols on the Bergman space of strongly pseudoconvex domains in $\mathbb{C}^n$ |
| topic | Complex Variables 47B35 |
| url | https://arxiv.org/abs/2603.25483 |