The Schwarz Lemma at the Boundary of the Symmetrized Bidisc

Zhenhan Tu, Shuo Zhang

The symmetrized bidisc ${\text{G}}_2$ is defined by $${\text{G}}_2:=\{(z_1+z_2,z_1{z}_2)\in {\mathbb{C}}^2:|z_1|<1,|z_2|<1,z_1,z_2\in \mathbb{C}\}.$$ It is a bounded inhomoge…