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

Abate, Marco; Raissy, Jasmin

doi:10.1090/tran/6535

A Julia-Wolff-Carathéodory theorem for infinitesimal generators in the unit ball
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by Marco Abate and Jasmin Raissy PDF

Trans. Amer. Math. Soc. 368 (2016), 5415-5431 Request permission

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.

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