English

A generalized Schwarz lemma for two domains related to $\mu$-synthesis

Complex Variables 2018-06-15 v2

Abstract

We present a set of necessary and sufficient conditions that provides a Schwarz lemma for the tetrablock E\mathbb E. As an application of this result, we obtain a Schwarz lemma for the symmetrized bidisc G2\mathbb G_2. In either case, our results generalize all previous results in this direction for E\mathbb E and G2\mathbb G_2.

Keywords

Cite

@article{arxiv.1708.00788,
  title  = {A generalized Schwarz lemma for two domains related to $\mu$-synthesis},
  author = {Sourav Pal and Samriddho Roy},
  journal= {arXiv preprint arXiv:1708.00788},
  year   = {2018}
}