The union problem for domains with partial pseudoconvex boundaries
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910920074067968 |
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| author | Hu, Jinjin Zhang, Xujun |
| author_facet | Hu, Jinjin Zhang, Xujun |
| contents | We show that a smooth bounded domain in $\mathbb{C}^n$ admitting partial pseudoconvex exhaustion remains partial pseudoconvex. The main ingredient of the proof is based on a new characterization of hyper-$q$-convex domains. Furthermore, we get several convex analogies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18139 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The union problem for domains with partial pseudoconvex boundaries Hu, Jinjin Zhang, Xujun Complex Variables 32F17, 32C55 We show that a smooth bounded domain in $\mathbb{C}^n$ admitting partial pseudoconvex exhaustion remains partial pseudoconvex. The main ingredient of the proof is based on a new characterization of hyper-$q$-convex domains. Furthermore, we get several convex analogies. |
| title | The union problem for domains with partial pseudoconvex boundaries |
| topic | Complex Variables 32F17, 32C55 |
| url | https://arxiv.org/abs/2503.18139 |