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Backward iteration in strongly convex domains. (arXiv:1104.5370v2 [math.CV] UPDATED)

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