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Quantitative localization and comparison of invariant distances of domains in $\mathbb C^n$ (2109.01944v3)
Published 4 Sep 2021 in math.CV
Abstract: We obtain explicit bounds on the difference and ratio between "local" and "global" Kobayashi distances in a domain of $\mathbb Cn$ as the points go toward a boundary point with appropriate geometric properties. We use this for the global comparison of various invariant distances. We provide some sharp estimates in dimension $1$.