I am trying to understand the Besove space $B^n_{\infty, 1}(\mathbb T)$ on the unit circle. I also try to find some simple set inclusion of these subspaces with some known classical function space. I believe that $B^n_{\infty, 1}(\mathbb T)\subset C^{n}(\mathbb T)$ (n times continuously differentiable functions on unit circle $\mathbb T$), but this is just my guess; I have no proof for this.
I request that you all provide proof or any reference where I can find this; it would be helpful.