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arXiv · 0707.3423

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

Michael T. Jury
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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.

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Michael T. Jury. 2007-07-23. An improved Julia-Caratheodory theorem for Schur-Agler mappings of the unit ball. https://arxiv.org/abs/0707.3423

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