We prove a Julia-Wolff-Carathéodory type theorem for infinitesimal generators on the unit ball in ℂn. 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.
Boundary behavior of infinitesimal generators in the unit ball / BRACCI, FILIPPO; Shoikhet, D.. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 366:(2014), pp. 1119-1140. [10.1090/S0002-9947-2013-05996-X]
Boundary behavior of infinitesimal generators in the unit ball
BRACCI, FILIPPO;
2014
Abstract
We prove a Julia-Wolff-Carathéodory type theorem for infinitesimal generators on the unit ball in ℂn. 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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