Properties of squeezing functions on $h$-extendible domains
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911400698314752 |
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| author | Van Thu, Ninh |
| author_facet | Van Thu, Ninh |
| contents | The purpose of this article is twofold. First, we prove that the squeezing function approaches 1 near strongly pseudoconvex boundary points of bounded domains in $\mathbb{C}^{n+1}$. Second, we show that the squeezing function approaches 1 along certain sequences converging to pseudoconvex boundary points of finite type, including uniformly $Λ$-tangential and spherically $\frac{1}{2m}$-tangential convergence patterns. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10774 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Properties of squeezing functions on $h$-extendible domains Van Thu, Ninh Complex Variables Primary 32T25, Secondary 32M05, 32H02, 32F45 The purpose of this article is twofold. First, we prove that the squeezing function approaches 1 near strongly pseudoconvex boundary points of bounded domains in $\mathbb{C}^{n+1}$. Second, we show that the squeezing function approaches 1 along certain sequences converging to pseudoconvex boundary points of finite type, including uniformly $Λ$-tangential and spherically $\frac{1}{2m}$-tangential convergence patterns. |
| title | Properties of squeezing functions on $h$-extendible domains |
| topic | Complex Variables Primary 32T25, Secondary 32M05, 32H02, 32F45 |
| url | https://arxiv.org/abs/2509.10774 |