Traces and extensions of certain weighted Sobolev spaces on ${\mathbb{R}}^n$ and Besov functions on Ahlfors regular compact subsets of ${\mathbb{R}}^n$

Jeff Lindquist, Nageswari Shanmugalingam

The focus of this paper is on Ahlfors $Q$-regular compact sets $E\subset {\mathbb{R}}^n$ such that, for each $Q-2<\alpha \le 0$, the weighted measure ${\mu }_{\alpha }$ given by integrating the density…