Backward iteration in strongly convex domains

Details Backward iteration in strongly convex domains Backward iteration in strongly convex domains

2011-04-28

arxiv.org/abs/1104.5370v1

Mathematics

Complex Variables

15 pages

Scientific paper

We prove that a backward orbit with bounded Kobayashi step for a hyperbolic,
parabolic or strongly elliptic holomorphic self-map of a bounded strongly
convex domain in d-dimensional complex Euclidean space necessarily converges to
a repelling or parabolic boundary fixed point, generalizing previous results
obtained by Poggi-Corradini in the unit disk and by Ostapyuk in the unit ball.

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