Warped products, solid hyperbolic fillings, and the identity $D^{1,p}=N^{1,p}+\mathbb{R}$

Ilmari Kangasniemi, Josh Kline, Nageswari Shanmugalingam +1

We construct a large class of metric measure spaces $Z$ which satisfy the identity $D^{1,p}(Z)=N^{1,p}(Z)+\mathbb{R}$, i.e.\ any measurable function $u:Z\to \mathbb{R}$…