Boundary behavior of infinitesimal generators in the unit ball-Reference-Cited by-同舟云学术

Boundary behavior of infinitesimal generators in the unit ball

Published:2013-09-19 Issue:2 Volume:366 Page:1119-1140
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bracci Filippo,Shoikhet David

Abstract

We prove a Julia-Wolff-Carathéodory type theorem for infinitesimal generators on the unit ball in C n \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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2014-366-02/S0002-9947-2013-05996-X/S0002-9947-2013-05996-X.pdf

Reference19 articles.

1. Research and Lecture Notes in Mathematics. Complex Analysis and Geometry;Abate, Marco,1989

2. The Julia-Wolff-Carathéodory theorem(s);Abate, Marco,1999

3. Angular derivatives in several complex variables;Abate, Marco,2004

4. Flow invariance conditions for holomorphic mappings in Banach spaces;Aharonov, Dov;Math. Proc. R. Ir. Acad.,1999

5. Semigroups of analytic functions and composition operators;Berkson, Earl;Michigan Math. J.,1978

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