A Julia-Wolff-Carathéodory theorem for infinitesimal generators in the unit ball

2014/03/04 by Abate, Marco, Raissy, Jasmin · 1 citation
#20M20 (secondary) #32A40 #32H50 #37L05 (primary) #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1403.0739

Abstract

We prove a Julia-Wolff-Carathédory theorem on angular derivatives of infinitesimal generators of one-parameter semigroups of holomorphic self-maps of the unit ball Bⁿ⊂ℂⁿ, starting from results recently obtained by Bracci and Shoikhet.

Cited by

• The Schwarz lemma for holomorphic and minimal disks at the boundary

Related

• The Julia-Wolff-Carathéodory theorem and its generalizations
• Boundary behavior of infinitesimal generators in the unit ball
• Infinitesimal generators associated with semigroups of linear fractional maps
• Infinitesimal generators of semigroups with prescribed boundary fixed points
• One Parameter Semigroups in Two Complex Variables