Differential structure associated to axiomatic Sobolev spaces
Functional Analysis
2018-07-17 v1
Abstract
The aim of this note is to explain in which sense an axiomatic Sobolev space over a general metric measure space (\`a la Gol'dshtein-Troyanov) induces - under suitable locality assumptions - a first-order differential structure.
Cite
@article{arxiv.1807.05417,
title = {Differential structure associated to axiomatic Sobolev spaces},
author = {Nicola Gigli and Enrico Pasqualetto},
journal= {arXiv preprint arXiv:1807.05417},
year = {2018}
}