The Julia-Wolff-Caratheodory theorem in polydisks
| dc.creator | Abate, Marco | |
| dc.date | 1996-12-17 | |
| dc.date.accessioned | 2026-07-07T09:15:40Z | |
| dc.date.available | 2026-07-07T09:15:40Z | |
| dc.description | The classical Julia-Wolff-Caratheodory theorem gives a condition ensuring the existence of the non-tangential limit of both a bounded holomorphic function and its derivative at a given boundary point of the unit disk in the complex plane. This theorem has been generalized by Rudin to holomorphic maps between unit balls in C^n, and by the author to holomorphic maps between strongly (pseudo)convex domains. Here we describe Julia-Wolff-Caratheodory theorems for holomorphic maps defined in a polydisk and with image either in the unit disk, or in another polydisk, or in a strongly convex domain. One of main tool for the proof is a general version of Lindelof's principle valid for not necessarily bounded holomorphic functions. | |
| dc.identifier | https://arxiv.org/abs/math/9612202 | |
| dc.identifier | http://arxiv.org/abs/math/9612202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153095 | |
| dc.subject | Complex Variables | |
| dc.subject | 32 | |
| dc.title | The Julia-Wolff-Caratheodory theorem in polydisks | |
| dc.type | text |