An improved Julia-Caratheodory theorem for Schur-Agler mappings of the unit ball

Details An improved Julia-Caratheodory theorem for Schur-Agler mappings of the unit ball An improved Julia-Caratheodory theorem for Schur-Agler mappings of the unit ball

2007-07-23

arxiv.org/abs/0707.3423v1

Mathematics

Complex Variables

10 pages

Scientific paper

We adapt Sarason's proof of the Julia-Caratheodory theorem to the class of
Schur-Agler mappings of the unit ball, obtaining a strengthened form of this
theorem. In particular those quantities which appear in the classical theorem
and depend only on the component of the mapping in the complex normal direction
have K-limits (not just restricted K-limits) at the boundary.

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