论文标题

有界全态函数的Nehari-Schwarz引理和无限边界刚性

The Nehari-Schwarz lemma and infinitesimal boundary rigidity of bounded holomorphic functions

论文作者

Roth, Oliver

论文摘要

我们调查了尼哈里(Nehari)对施瓦兹(Schwarz)诱饵扩展的一些概括和锐化,用于单位磁盘的塑形自动图。特别是,我们讨论了无限多个关键点及其与伯格曼空间的零集和不变子空间的关系,以及边界的平等情况。

We survey a number of recent generalizations and sharpenings of Nehari's extension of Schwarz' lemma for holomorphic self-maps of the unit disk. In particular, we discuss the case of infinitely many critical points and its relation to the zero sets and invariant subspaces for Bergman spaces, as well as the case of equality at the boundary.

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