Bi-Hölder extensions of quasi-isometries on pseudoconvex domains of finite type in ${\mathbb{C}}^2$

Jinsong Liu, Xingsi Pu, Hongyu Wang

In this paper, we prove that the identity map for the smoothly bounded pseudoconvex domain of finite type in ${\mathbb{C}}^2$ extends to a bi-Hölder map between the Euclidean boundar…