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Backward iteration in strongly convex domains

By Marco Abate and Jasmin Raissy


AbstractWe prove that a backward orbit with bounded Kobayashi step for a hyperbolic, parabolic or strongly elliptic holomorphic self-map of a bounded strongly convex C2 domain in Cd 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 of Cd

Publisher: Elsevier Inc.
Year: 2011
DOI identifier: 10.1016/j.aim.2011.06.044
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