Lipschitz spaces generated by the Sobolev-Poincaré inequality and extensions of Sobolev functions

Pavel Shvartsman

Let $d$ be a metric on $R^n$ and let $C^{m,(d)}(R^n)$ be the space of $C^m$-function on $R^n$ whose partial derivatives of order $m$ belong to the space $Lip(R^n;d)$. We show that…