A non-commutative Julia Inequality
Complex Variables
2017-08-22 v3 Functional Analysis
Abstract
We prove a Julia inequality for bounded non-commutative functions on polynomial polyhedra. We use this to deduce a Julia inequality for holomorphic functions on classical domains in . We look at differentiability at a boundary point for functions that have a certain regularity there.
Keywords
Cite
@article{arxiv.1606.09629,
title = {A non-commutative Julia Inequality},
author = {John E. McCarthy and James E. Pascoe},
journal= {arXiv preprint arXiv:1606.09629},
year = {2017}
}