Une note sur le périmètre fractionnaire et l'interpolation

Translated title of the contribution: A note on the fractional perimeter and interpolation

Augusto C. Ponce, Daniel Spector

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We present the fractional perimeter as a set-function interpolation between the Lebesgue measure and the perimeter in the sense of De Giorgi. Our motivation comes from a new fractional Boxing inequality that relates the fractional perimeter and the Hausdorff content and implies several known inequalities involving the Gagliardo seminorm of the Sobolev spaces Wα,1 of order 0<α<1.

Translated title of the contributionA note on the fractional perimeter and interpolation
Original languageFrench
Pages (from-to)960-965
Number of pages6
JournalComptes Rendus Mathematique
Volume355
Issue number9
DOIs
Publication statusPublished - 2017 Sep

ASJC Scopus subject areas

  • Mathematics(all)

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