Boundary behavior and rigidity of semigroups of holomorphic mappings

Details Boundary behavior and rigidity of semigroups of holomorphic mappings Boundary behavior and rigidity of semigroups of holomorphic mappings

2011-05-14

arxiv.org/abs/1105.2881v1

Mathematics

Complex Variables

Scientific paper

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.

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