Consider the seminorm $\| f \|^2 = \int_{-\infty}^{\infty} dx f''(x)^2$

for $f:\mathbb{R}\rightarrow \mathbb{R}$ in the Sobalev space $W^{k,2}(\mathbb{R})$.

Can we put some upper bound on the composition $\| f\circ g \|$ in terms of $\| f \|$ and $\| g \|$?