We describe a general procedure for studying the boundary behavior of holomorphic maps in several complex variables at a specific point in the boundary, and for proving Lindelof principles and Julia-Wolff-Carathéodory theorems. This procedure encompasses all known results of this kind, and also provides new instances of these theorems for pseudoconvex domains.

Angular derivatives in several complex variables

ABATE, MARCO
2004-01-01

Abstract

We describe a general procedure for studying the boundary behavior of holomorphic maps in several complex variables at a specific point in the boundary, and for proving Lindelof principles and Julia-Wolff-Carathéodory theorems. This procedure encompasses all known results of this kind, and also provides new instances of these theorems for pseudoconvex domains.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/85482
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