A non-commutative Julia inequality

Authors

John E. McCarthy, Washington University in St LouisFollow
James E. Pascoe

Author's School

Arts & Sciences

Author's Department

Mathematics

Document Type

Article

Publication Date

1-2018

Originally Published In

McCarthy, J.E. & Pascoe, J.E. Mathematische Annalen (2018) 370: 423. https://doi.org/10.1007/s00208-017-1596-1

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 C^d. We look at differentiability at a boundary point for functions that have a certain regularity there.

Comments

Author version of McCarthy, J.E. & Pascoe, J.E. Mathematische Annalen (2018) 370: 423.https://doi.org/10.1007/s00208-017-1596-1 © 2017 Springer International Publishing

ORCID

http://orcid.org/0000-0003-0036-7606 [McCarthy]

Recommended Citation

McCarthy, John E. and Pascoe, James E., "A non-commutative Julia inequality" (2018). Mathematics Faculty Publications. 45.
https://openscholarship.wustl.edu/math_facpubs/45

Embargo Period

1-24-2019