We provide several equivalent characterizations of Kobayashi hyperbolicity in unbounded convex domains in terms of peak and anti-peak functions at infinity, affine lines, Bergman metric and iteration theory.
Hyperbolicity in unbounded convex domains / Filippo Bracci; Alberto Saracco. - In: FORUM MATHEMATICUM. - ISSN 0933-7741. - STAMPA. - 21:(2009), pp. 815-826. [10.1515/FORUM.2009.039]
Hyperbolicity in unbounded convex domains
Filippo Bracci;
2009
Abstract
We provide several equivalent characterizations of Kobayashi hyperbolicity in unbounded convex domains in terms of peak and anti-peak functions at infinity, affine lines, Bergman metric and iteration theory.
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