Hölder norm
= Hölder norm
{c}
{title2=$|u|_{k,\alpha;U}$}
The full norm is $|u|_{k,\alpha;U}=|u|_{k;U}+[D^k u]_{\alpha;U}$, combining the <derivative supremum norm> with the top-derivative <Hölder seminorm>. At order zero it is the sum of the <supremum norm> and the <Hölder seminorm>.