The class of holomorphic self-mappings of the open unit disk (which are contractions with respect to the Poincaré metric) admits a natural extension to the class of holomorphic pseudo-contractions. In this paper, we study various inequalities involving the values of derivatives of holomorphic pseudo-contractions at fixed points (particularly, at the Denjoy–Wolff fixed point).

中文翻译：

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伪收缩，刚性，不动点及相关问题

开放单位圆盘的全纯自映射的类别（相对于庞加莱度量而言是收缩）允许对纯全伪压缩的类别进行自然扩展。在本文中，我们研究了各种不等式，这些不等式涉及在固定点（特别是在Denjoy-Wolff固定点）的全纯伪压缩的导数的值。