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arXiv 1104.5370math.CVmath.DS
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强凸区域中的向后迭代

Backward iteration in strongly convex domains

Marco Abate, Jasmin Raissy

摘要:

证明了d维复欧几里得空间中有界强凸区域的双曲或强椭圆全纯自映射的有界Kobayashi步的后向轨道必然收敛于边界不动点,推广了Poggi-Corradini在单位圆盘上和Ostapyuk在单位球上的结果.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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