Density problem for Sobolev spaces on Gehring Hayman domains with the ball separation condition in metric measure spaces

Jesse Koivu

We prove that for a domain $\Omega$ in a PI space $X$ such that $\Omega$ satisfies the Gehring Hayman condition and the ball separation condition, the Newtonian Sobolev space $N^{1,\infty}(Ω…