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A Non-Commutative Julia Inequality, John E. Mccarthy, James E. Pascoe
A Non-Commutative Julia Inequality, John E. Mccarthy, James E. Pascoe
Mathematics Faculty Publications
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.