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Decomposition of integral metric currents
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Bonicatto, Paolo, Del Nin, Giacomo and Pasqualetto, Enrico (2022) Decomposition of integral metric currents. Journal of Functional Analysis, 282 (7). 109378. doi:10.1016/j.jfa.2021.109378 ISSN 0022-1236.
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Official URL: http://dx.doi.org/10.1016/j.jfa.2021.109378
Abstract
In the setting of complete metric spaces, we prove that integral currents can be decomposed as a sum of indecomposable components. In the special case of one-dimensional integral currents, we also show that the indecomposable ones are exactly those associated with injective Lipschitz curves or injective Lipschitz loops, therefore extending Federer's characterisation to metric spaces. Moreover, some applications of our main results will be discussed.
| Item Type: | Journal Article | ||||||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
| Library of Congress Subject Headings (LCSH): | Metric spaces , Integrals, Lipschitz spaces , Integrals, Generalized, Mathematical optimization | ||||||||||||
| Journal or Publication Title: | Journal of Functional Analysis | ||||||||||||
| Publisher: | Academic Press | ||||||||||||
| ISSN: | 0022-1236 | ||||||||||||
| Official Date: | 1 April 2022 | ||||||||||||
| Dates: |
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| Volume: | 282 | ||||||||||||
| Number: | 7 | ||||||||||||
| Article Number: | 109378 | ||||||||||||
| DOI: | 10.1016/j.jfa.2021.109378 | ||||||||||||
| Status: | Peer Reviewed | ||||||||||||
| Publication Status: | Published | ||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
| Date of first compliant deposit: | 5 January 2022 | ||||||||||||
| Date of first compliant Open Access: | 30 December 2022 | ||||||||||||
| RIOXX Funder/Project Grant: |
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