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

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.

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