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.
Bracci, F., Shoikhet, D. (2014). Boundary behavior of infinitesimal generators in the unit ball. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 366(2), 1119-1140 [10.1090/S0002-9947-2013-05996-X].
Boundary behavior of infinitesimal generators in the unit ball
BRACCI, FILIPPO;
2014-01-01
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.File in questo prodotto:
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