J. Austral. Math. Soc.
73 (2002), 221-250
|
The Lindelöf principle and angular derivatives in convex domains of finite type
|
Marco Abate
Dipartimento di Matematica
Università di Roma `Tor Vergata'
Via della Ricerca Scientifica
00133 Roma
Italy
abate@mat.uniroma2.it
|
|
|
Roberto Tauraso
Dipartimento di Matematica
Università di Roma `Tor Vergata'
Via della Ricerca Scientifica
00133 Roma
Italy
tauraso@mat.uniroma2.it
|
|
|
Abstract
|
We describe a generalization of the classical
Julia-Wolff-Carathéodory theorem to a
large class of bounded convex domains of finite
type, including convex circular domains and
convex domains with real analytic boundary. The
main tools used in the proofs are several
explicit estimates on the boundary behaviour of
Kobayashi distance and metric, and a new
Lindelöf principle.
|
Download the article in PDF format (size 244 Kb)
|
|
|
|