A non-commutative Julia inequality

John E. McCarthy; James E. Pascoe

doi:10.1007/s00208-017-1596-1

A non-commutative Julia inequality

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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 holomorphicfunctions on classical domains in C^d. We look at differentiability at a boundary point for functions that have a certain regularity there.

Original language	English
Pages (from-to)	423-446
Number of pages	24
Journal	Mathematische Annalen
Volume	370
Issue number	1-2
DOIs	https://doi.org/10.1007/s00208-017-1596-1
State	Published - Feb 1 2018

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title = "A non-commutative Julia inequality",

abstract = "We prove a Julia inequality for bounded non-commutative functions on polynomial polyhedra. We use this to deduce a Julia inequality for holomorphicfunctions on classical domains in Cd. We look at differentiability at a boundary point for functions that have a certain regularity there.",

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A non-commutative Julia inequality

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