Strong localization of invariant metrics
Peer reviewed, Journal article
Accepted version
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Date
2021Metadata
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- Institutt for matematiske fag [2527]
- Publikasjoner fra CRIStin - NTNU [38679]
Abstract
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 Cn 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.