2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134860We 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 pagesComplex VariablesFunctional Analysis30C80 (primary), 32A40, 46E22 (secondary)text