GROMOV HYPERBOLICITY OF THE j<inf>G</inf> METRIC AND BOUNDARY CORRESPONDENCE

Let G ⊆ Rn be an open set. It is shown by Hästö that G equipped with the jG metric is Gromov hyperbolic. The purpose of this paper is to show that there is a natural quasisymmetric correspondence between the Gromov boundary of (G, jG) and its Euclidean boundary ∂G. Both bounded and unbounded cases are in our considerations.