An improved Julia-Caratheodory theorem for Schur-Agler mappings of the unit ball
arXiv:0707.3423
Abstract
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.
10 pages