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Rectifiability of the jump set of locally integrable functions
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Del Nin, Giacomo (2021) Rectifiability of the jump set of locally integrable functions. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 22 (3). pp. 1233-1240. doi:10.2422/2036-2145.202002_006
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WRAP-Rectifiability-jump-set-locally-integrable-functions-Del-Nin-2020.pdf - Accepted Version - Requires a PDF viewer. Download (482Kb) | Preview |
Official URL: http://dx.doi.org/10.2422/2036-2145.202002_006
Abstract
In this note we show that for every measurable function on Rn the set
of points where the blowup exists and is not constant is (n 1)-rectifiable. In particular, for every u 2 L1 loc(Rn) the jump set Ju is (n 1)-rectifiable.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Functions, Entire, Functions of bounded variation, Hausdorff measures | ||||||
| Journal or Publication Title: | Annali della Scuola Normale Superiore di Pisa, Classe di Scienze | ||||||
| Publisher: | Scuola Normale Superiore di Pisa | ||||||
| ISSN: | 0391-173X | ||||||
| Official Date: | 27 September 2021 | ||||||
| Dates: |
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| Volume: | 22 | ||||||
| Number: | 3 | ||||||
| Page Range: | pp. 1233-1240 | ||||||
| DOI: | 10.2422/2036-2145.202002_006 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
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