Boundary behavior of infinitesimal generators in the unit ball
Complex Variables
2012-09-25 v2 Dynamical Systems
Abstract
We prove a Julia-Wolff-Caratheodory type theorem for infinitesimal generators on the unit ball in 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.
Keywords
Cite
@article{arxiv.1203.1839,
title = {Boundary behavior of infinitesimal generators in the unit ball},
author = {Filippo Bracci and David Shoikhet},
journal= {arXiv preprint arXiv:1203.1839},
year = {2012}
}
Comments
24 pages. Version 2: Theorem 1.2 has been improved and an error in the proof of Theorem 1.3 has been corrected