This is a reference request.
Can someone kindly give me some refernce(Books/papers) on
- Discrete Sobolev Space (like we use Discrete $L^p$ spaces of $g\colon\Omega\to\Bbb R $ maps with norm given as summations );
- Sobolev Spaces of Banach Space valued Maps a generalization of $\Bbb R^n$ valued maps).
$W^{m,p}$consisting of $f \colon\Omega\to X $ where $\Omega \subset \Bbb R^n $ and $X$ is a Banach space. In general $X$ can be thought of $\Bbb R^d$.