Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope

Luigi Ambrosio, Maria Colombo, Simone Di Marino

In this paper we make a survey of some recent developments of the theory of Sobolev spaces $W^{1,q}(X,\sfd,\mm)$, $1<q<\infty$, in metric measure spaces $(X,\sfd,\mm)$. In the fina…