Precise estimates of invariant distances on strongly pseudoconvex domains

Published 17 Aug 2023 in math.CV | (2308.09143v2)

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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