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Weighted boundary limits of the Kobayashi--Fuks metric on h-extendible domains

Published 11 Apr 2023 in math.CV | (2304.05213v2)

Abstract: We study the boundary behavior of the Kobayashi--Fuks metric on the class of h-extendible domains. Here, we derive the non-tangential boundary asymptotics of the Kobayashi--Fuks metric and its Riemannian volume element by the help of some maximal domain functions and then using their stability results on h-extendible local models.

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