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.
Abate, M., Tauraso, R. (2002). The Lindelof principle and angular derivatives in convex domains of finite type. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 73(2), 221-250 [10.1017/S1446788700008818].
The Lindelof principle and angular derivatives in convex domains of finite type
TAURASO, ROBERTO
2002-01-01
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.File in questo prodotto:
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