Approximate Extension in Sobolev Space

Marjorie K. Drake

Let $L^{m,p}({\mathbb{R}}^n)$ be the homogeneous Sobolev space for $p\in (n,\infty )$, $\mu$ be a Borel regular measure on ${\mathbb{R}}^n$, and $L^{m,p}({\mathbb{R}}^n)+L^p(d\mu )$ be the…