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.
Bracci, F., Gaussier, H. (2022). Abstract boundaries and continuous extension of biholomorphisms. ANALYSIS MATHEMATICA, 48(2), 393-409 [10.1007/s10476-022-0163-5].
Abstract boundaries and continuous extension of biholomorphisms
Bracci, Filippo;
2022-06-16
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.File in questo prodotto:
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