The Nehari-Schwarz lemma and infinitesimal boundary rigidity of bounded holomorphic functions
Complex Variables
2022-06-10 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2206.04346,
title = {The Nehari-Schwarz lemma and infinitesimal boundary rigidity of bounded holomorphic functions},
author = {Oliver Roth},
journal= {arXiv preprint arXiv:2206.04346},
year = {2022}
}