A density problem for Sobolev spaces on Gromov hyperbolic domains

Pekka Koskela, Tapio Rajala, Yi Ru-Ya Zhang

We prove that for a bounded domain $\Omega \subset {\mathbb{R}}^n$ which is Gromov hyperbolic with respect to the quasihyperbolic metric, especially when $\Omega$ is a finitely connected planar…