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arXiv · 1606.09629

A non-commutative Julia Inequality

John E. McCarthy·James E. Pascoe
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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 $\mathbb{C}^d$. We look at differentiability at a boundary point for functions that have a certain regularity there.

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John E. McCarthy, James E. Pascoe. 2016-06-30. A non-commutative Julia Inequality. https://arxiv.org/abs/1606.09629

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