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

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 $B^n\subset {\mathbb{C}}^n$, starting from results recently obtained by Bracci and Shoikhet.

We have added an example showing the relevance of the hypotheses in our main theorem; 16 pages

References in corpus (1)

• Parabolic type semigroups: asymptotics and order of contact