Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Boundary behavior and rigidity of semigroups of holomorphic mappings

Boundary behavior and rigidity of semigroups of holomorphic mappings In this paper we give some quantitative characteristics of boundary asymptotic behavior of semigroups of holomorphic self-mappings of the unit disk including the limit curvature of their trajectories at the boundary Denjoy–Wolff point. This enable us to establish an asymptotic rigidity property for semigroups of parabolic type. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Boundary behavior and rigidity of semigroups of holomorphic mappings

Loading next page...
 
/lp/springer-journals/boundary-behavior-and-rigidity-of-semigroups-of-holomorphic-mappings-iIcPEx6tac
Publisher
Springer Journals
Copyright
Copyright © 2011 by Springer Basel AG
Subject
Mathematics; Mathematical Methods in Physics; Analysis
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-011-0014-1
Publisher site
See Article on Publisher Site

Abstract

In this paper we give some quantitative characteristics of boundary asymptotic behavior of semigroups of holomorphic self-mappings of the unit disk including the limit curvature of their trajectories at the boundary Denjoy–Wolff point. This enable us to establish an asymptotic rigidity property for semigroups of parabolic type.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Nov 15, 2011

References