Strong localization of invariant metrics
| Autor: | Forn��ss, John Erik, Nikolov, Nikolai |
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| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: | |
| Popis: | A quantitative version of strong localization of the Kobayashi, Azukawa and Sibony metrics, as well as of the squeezing function, near a plurisubharmonic peak boundary point of a domain in $\Bbb C^n$ is given. As an application, the behavior of these metrics near a strictly pseudoconvex boundary point is studied. A weak localization of the three metrics and the squeezing function is also given near a plurisubharmonic antipeak boundary point. v2: slightly extended version; v3: to appear in Math. Ann. We have added a counterpart to Theorem 1 in the case where $\infty$ is a psh peak point |
| Databáze: | OpenAIRE |
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