Busemann Functions and Julia-Wolff-Caratheodory Theorem for Polydiscs
| dc.creator | Frosini, Chiara | |
| dc.date | 2007-02-20 | |
| dc.date.accessioned | 2026-07-07T07:47:50Z | |
| dc.date.available | 2026-07-07T07:47:50Z | |
| dc.description | The classical Julia-Wolff-Caratheodory Theorem is one of the main tools to study the boundary behavior of holomorphic self-maps of the unit disc of $\C$. In this paper we prove a Julia-Wolff-Caratheodory's type theorem in the case of the polydisc of $\C^n.$ The Busemann functions are used to define a class of "generalized horospheres" for the polydisc and to extend the notion of non-tangential limit. With these new tools we give a generalization of the classical Julia's Lemma and of the Lindelof Theorem, which the new Julia-Wolff-Caratheodory Theorem relies upon. | |
| dc.identifier | https://arxiv.org/abs/math/0702581 | |
| dc.identifier | http://arxiv.org/abs/math/0702581 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124297 | |
| dc.subject | Complex Variables | |
| dc.subject | 32A40, 32H50 | |
| dc.title | Busemann Functions and Julia-Wolff-Caratheodory Theorem for Polydiscs | |
| dc.type | text |