Let $M$ be a Riemannian manifold, $N$ a manifold, $k\in \mathbb{N}$, $\alpha\in(0,1)$
Question: How exactly is the Hölder space $C^{k,\alpha}(M,N)$ and the sobolev space $W^k_p(M,N)$ defined? Are there (good) references where these spaces are introduced and sobolev embedding theorems of these spaces can be found?
(I know how $C^{k,\alpha}(M,\mathbb{R})$, $W^k_p(M,\mathbb{R})$ and $C^{k,\alpha}(E)$, $W^k_P(E)$ for sections of a vector bundle $E\rightarrow M$ are defined if that helps.)
Also I would appreciate any good references on the topic of sobolev and hölder spaces of maps between manifolds and sections of vector bundles.
Thanks in advance!