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.
16-giu-2022
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/03 - GEOMETRIA
English
Gromov hyperbolic space; biholomorphism; boundary extension
https://link.springer.com/article/10.1007/s10476-022-0163-5#citeas
Bracci, F., Gaussier, H. (2022). Abstract boundaries and continuous extension of biholomorphisms. ANALYSIS MATHEMATICA, 48(2), 393-409 [10.1007/s10476-022-0163-5].
Bracci, F; Gaussier, H
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/302169
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