A generalized Schwarz lemma for two domains related to μ-synthesis

Abstract

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

Keywords

• tetrablock
• symmetrized bidisc
• schwarz lemma
• 30c80
• 32f45