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A non-commutative Julia inequality
Journal article   Open access   Peer reviewed

A non-commutative Julia inequality

John E. McCarthy and James E. Pascoe
Mathematische annalen, v 370(1-2), pp 423-446
01 Feb 2018
PMID: 29371743
url
https://europepmc.org/articles/pmc5777539View
Accepted (AM)Open Access (License Unspecified) Open

Abstract

Article General Mathematics Mathematics and Statistics
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.

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