| dc.contributor.author | Figalli, Alessio | |
| dc.contributor.author | Jerison, David | |
| dc.date.accessioned | 2016-04-04T23:29:14Z | |
| dc.date.available | 2016-04-04T23:29:14Z | |
| dc.date.issued | 2013-06 | |
| dc.date.submitted | 2013-05 | |
| dc.identifier.issn | 00221236 | |
| dc.identifier.issn | 1096-0783 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/102161 | |
| dc.description.abstract | We investigate the regularity of the marginals onto hyperplanes for sets of finite perimeter. We prove, in particular, that if a set of finite perimeter has log-concave marginals onto a.e. hyperplane then the set is convex. Our proof relies on measuring the perimeter of a set through a Hilbertian fractional Sobolev norm, a fact that we believe has its own interest. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-1069225) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Elsevier | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1016/j.jfa.2013.05.040 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-NoDerivatives | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | en_US |
| dc.source | Other univ. web domain | en_US |
| dc.title | How to recognize convexity of a set from its marginals | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Figalli, Alessio, and David Jerison. “How to Recognize Convexity of a Set from Its Marginals.” Journal of Functional Analysis 266, no. 3 (February 2014): 1685–1701. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Jerison, David | en_US |
| dc.relation.journal | Journal of Functional Analysis | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dspace.orderedauthors | Figalli, Alessio; Jerison, David | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-9357-7524 | |
| mit.license | PUBLISHER_CC | en_US |
| mit.metadata.status | Complete | |
