Differential structure associated to axiomatic Sobolev spaces
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.
Main Authors
Format
Articles
Research article
Published
2020
Series
Subjects
Publication in research information system
Publisher
Elsevier GmbH, Urban und Fischer
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202011246725Use this for linking
Review status
Peer reviewed
ISSN
0723-0869
DOI
https://doi.org/10.1016/j.exmath.2019.01.002
Language
English
Published in
Expositiones Mathematicae
Citation
- Giglia, N., & Pasqualetto, E. (2020). Differential structure associated to axiomatic Sobolev spaces. Expositiones Mathematicae, 38(4), 480-495. https://doi.org/10.1016/j.exmath.2019.01.002
License
Copyright© 2020 The Authors