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arXiv · 2308.09143

Precise estimates of invariant distances on strongly pseudoconvex domains

Łukasz Kosiński·Nikolai Nikolov·Ahmed Yekta Ökten
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Abstract

Studying the behavior of real and complex geodesics we provide sharp estimates for the Kobayashi distance, the Lempert function, and the Carath\'eodory distance on $\mathcal{C}^{2,\alpha}$-smooth strongly pseudoconvex domains. Similar estimates are also provided for the Bergman distance on strongly pseudoconvex domains with $\mathcal{C}^{3,1}$-boundary.

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Łukasz Kosiński, Nikolai Nikolov, Ahmed Yekta Ökten. 2023-08-17. Precise estimates of invariant distances on strongly pseudoconvex domains. https://arxiv.org/abs/2308.09143

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