An improved Julia-Caratheodory theorem for Schur-Agler mappings of the unit ball
classification
🧮 math.CV
math.FA
keywords
theoremballjulia-caratheodoryk-limitsmappingsschur-aglerunitadapt
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.