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Differential structure associated to axiomatic Sobolev spaces

TitleDifferential structure associated to axiomatic Sobolev spaces
Publication TypeJournal Article
Year of Publication2019
AuthorsGigli, N, Pasqualetto, E
JournalExpositiones Mathematicae
ISSN0723-0869
KeywordsAxiomatic 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.

URLhttp://www.sciencedirect.com/science/article/pii/S0723086918300975
DOI10.1016/j.exmath.2019.01.002

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