The Library
Rectifiability of the jump set of locally integrable functions
Tools
Tools
Tools
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 ISSN 0391-173X.
|
PDF
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: |
|
||||||
| 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 | ||||||
| Date of first compliant deposit: | 27 July 2021 | ||||||
| Date of first compliant Open Access: | 27 July 2021 | ||||||
| Related URLs: |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
