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 $\hat{I}\text{c◯}$ in a PI space $X$ such that $\hat{I}\text{c◯}$ satisfies the Gehring Hayman condition and the ball separation condition, the Newtonian Sobolev space $N^{1,\infty}…