Originally Published In
McCarthy, J.E. & Pascoe, J.E. Mathematische Annalen (2018) 370: 423. https://doi.org/10.1007/s00208-017-1596-1
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 Cd. We look at differentiability at a boundary point for functions that have a certain regularity there.
McCarthy, John E. and Pascoe, James E., "A non-commutative Julia inequality" (2018). Mathematics Faculty Publications. 45.