Boundary behavior of infinitesimal generators in the unit ball

Bracci, Filippo; Shoikhet, David

doi:10.1090/S0002-9947-2013-05996-X

Boundary behavior of infinitesimal generators in the unit ball
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Trans. Amer. Math. Soc. 366 (2014), 1119-1140 Request permission

Abstract:

We prove a Julia-Wolff-Carathéodory type theorem for infinitesimal generators on the unit ball in $\mathbb {C}^{n}$. Moreover, we study jets expansions at the boundary and give necessary and sufficient conditions on such jets for an infinitesimal generator to generate a group of automorphisms of the ball.

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