We present different constructions of abstract boundaries for bounded complete (Kobayashi) hyperbolic domains in Cd, d ≥ 1. These constructions essentially come from the geometric theory of metric spaces. We also present, as an application, some extension results concerning biholomorphic maps.
Abstract boundaries and continuous extension of biholomorphisms / Bracci, Filippo; Gaussier, Hervé. - In: ANALYSIS MATHEMATICA. - ISSN 0133-3852. - 48:(2022), pp. 393-409. [10.1007/s10476-022-0163-5]
Abstract boundaries and continuous extension of biholomorphisms
Bracci, Filippo;
2022
Abstract
We present different constructions of abstract boundaries for bounded complete (Kobayashi) hyperbolic domains in Cd, d ≥ 1. These constructions essentially come from the geometric theory of metric spaces. We also present, as an application, some extension results concerning biholomorphic maps.
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