Boundary behavior and rigidity of semigroups of holomorphic mappings
Complex Variables
2011-05-17 v1
Abstract
In this paper we give some quantative 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.
Keywords
Cite
@article{arxiv.1105.2881,
title = {Boundary behavior and rigidity of semigroups of holomorphic mappings},
author = {Mark Elin and David Shoikhet},
journal= {arXiv preprint arXiv:1105.2881},
year = {2011}
}