English

A Schwarz lemma for two families of domains and complex geometry

Complex Variables 2019-11-12 v2

Abstract

We make sharp estimates to obtain a Schwarz type lemma for the symmetrized polydisc \gn\gn and for the extended symmetrized polydisc \Gn\Gn. We explicitly construct an interpolating function under certain condition. To do so, we followed the methods described in \cite{Young-LMS}. Also we find a few geometric interplay between the members of the family \Gn\Gn and its closure Γ~n\widetilde{\Gamma}_n.

Keywords

Cite

@article{arxiv.1904.10052,
  title  = {A Schwarz lemma for two families of domains and complex geometry},
  author = {Sourav Pal and Samriddho Roy},
  journal= {arXiv preprint arXiv:1904.10052},
  year   = {2019}
}

Comments

Revised, 31 pages