Precise estimates of invariant distances on strongly pseudoconvex domains

2023/08/17 by Kosiński, Łukasz, Nikolov, Nikolai, Ökten, Ahmed Yekta · 1 citation
#32F45 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2308.09143

Abstract

Studying the behavior of real and complex geodesics we provide sharp estimates for the Kobayashi distance, the Lempert function, and the Carathéodory distance on C^2,α-smooth strongly pseudoconvex domains. Similar estimates are also provided for the Bergman distance on strongly pseudoconvex domains with C^3,1-boundary.

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• Optimal bounds for the Kobayashi distance near \mathcal C²-smooth boundary points

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