| Title | Differential structure associated to axiomatic Sobolev spaces |
| Publication Type | Journal Article |
| Year of Publication | 2019 |
| Authors | Gigli, N, Pasqualetto, E |
| Journal | Expositiones Mathematicae |
| ISSN | 0723-0869 |
| Keywords | Axiomatic Sobolev space; Cotangent module; Locality of differentials |
| Abstract | The aim of this note is to explain in which sense an axiomatic Sobolev space over a general metric measure space (à la Gol’dshtein–Troyanov) induces – under suitable locality assumptions – a first-order differential structure. |
| URL | http://www.sciencedirect.com/science/article/pii/S0723086918300975 |
| DOI | 10.1016/j.exmath.2019.01.002 |
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