This question could also go in Differential Equations, but I felt it would be more likely answered here. I just need a small question answered about a norm.
What is the norm $\displaystyle \|\cdot\|_{C^m(\Omega)}$ in the following:
For $\displaystyle 0\le m < k - \frac{n}{p}$
$\displaystyle
W^{k,p}_0(\Omega) \subset C^m(\bar{\Omega}),
$
i.e., $\displaystyle \|u\|_{C^m(\Omega)} \le c\|u\|_{W^{k,p}_0}.$