Precise estimates of invariant distances on strongly pseudoconvex domains
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866908400729718784 |
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| author | Kosiński, Łukasz Nikolov, Nikolai Ökten, Ahmed Yekta |
| author_facet | Kosiński, Łukasz Nikolov, Nikolai Ökten, Ahmed Yekta |
| contents | Studying the behavior of real and complex geodesics we provide sharp estimates for the Kobayashi distance, the Lempert function, and the Carathéodory distance on $\mathcal{C}^{2,α}$-smooth strongly pseudoconvex domains. Similar estimates are also provided for the Bergman distance on strongly pseudoconvex domains with $\mathcal{C}^{3,1}$-boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_09143 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Precise estimates of invariant distances on strongly pseudoconvex domains Kosiński, Łukasz Nikolov, Nikolai Ökten, Ahmed Yekta Complex Variables 32F45 Studying the behavior of real and complex geodesics we provide sharp estimates for the Kobayashi distance, the Lempert function, and the Carathéodory distance on $\mathcal{C}^{2,α}$-smooth strongly pseudoconvex domains. Similar estimates are also provided for the Bergman distance on strongly pseudoconvex domains with $\mathcal{C}^{3,1}$-boundary. |
| title | Precise estimates of invariant distances on strongly pseudoconvex domains |
| topic | Complex Variables 32F45 |
| url | https://arxiv.org/abs/2308.09143 |