Boundary behavior of infinitesimal generators in the unit ball
Filippo Bracci, David Shoikhet
TL;DR
This paper establishes a Julia-Wolff-Caratheodory type theorem for infinitesimal generators in the unit ball of complex space, analyzing boundary behaviors and conditions for automorphism groups.
Contribution
It introduces new boundary behavior results and jet expansion criteria for infinitesimal generators in several complex variables.
Findings
Proved a Julia-Wolff-Caratheodory type theorem for the unit ball
Derived necessary and sufficient conditions for automorphism generation
Analyzed jets expansions at the boundary
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.
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