Quantitative localization and comparison of invariant distances of domains in $\mathbb C^n$
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866911887519645696 |
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| author | Nikolov, Nikolai Thomas, Pascal J. |
| author_facet | Nikolov, Nikolai Thomas, Pascal J. |
| contents | We obtain explicit bounds on the difference and ratio between "local" and "global" Kobayashi distances in a domain of $\mathbb C^n$ as the points go toward a boundary point with appropriate geometric properties. We use this for the global comparison of various invariant distances. We provide some sharp estimates in dimension $1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_01944 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Quantitative localization and comparison of invariant distances of domains in $\mathbb C^n$ Nikolov, Nikolai Thomas, Pascal J. Complex Variables 32F45, 32T15, 32T25 We obtain explicit bounds on the difference and ratio between "local" and "global" Kobayashi distances in a domain of $\mathbb C^n$ as the points go toward a boundary point with appropriate geometric properties. We use this for the global comparison of various invariant distances. We provide some sharp estimates in dimension $1$. |
| title | Quantitative localization and comparison of invariant distances of domains in $\mathbb C^n$ |
| topic | Complex Variables 32F45, 32T15, 32T25 |
| url | https://arxiv.org/abs/2109.01944 |