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The Lindelöf principle and angular derivatives in convex domains of finite type

Part of: Holomorphic mappings and correspondences Holomorphic functions of several complex variables

Published online by Cambridge University Press:  09 April 2009

Marco Abate  and
Roberto Tauraso
Marco Abate
Affiliation:
Department of Mathematical Sciences, The University of Memphis, Memphis TN 38152, USA e-mail: kaminska@memphis.edu
Roberto Tauraso
Affiliation:
Faculty of Mathematics and Computer Science, A. Mickiewicz University, and Institute of MathematicsPoznań Branch, Polish Academy of Sciences, Matejki 48/49, 60–769 Poznań, Poland e-mail: mastylo@amu.edu.pl
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Abstract

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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.

MSC classification

Secondary: 32A40: Boundary behavior of holomorphic functions 32H40: Boundary regularity of mappings
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 73 , Issue 2 , October 2002 , pp. 221 - 250
Copyright
Copyright © Australian Mathematical Society 2002

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