The norm of linear extension operators for $C^{m-1,1}({\mathbb{R}}^n)$

Jacob Carruth, Abraham Frei-Pearson, Arie Israel

Fix integers $m\ge 2$, $n\ge 1$. We prove the existence of a bounded linear extension operator for $C^{m-1,1}({\mathbb{R}}^n)$ with operator norm at most $\exp (\gamma D^k)$, where $D := \binom{m+n…