| Autor: |
Ponce, Augusto C., Spector, Daniel |
| Rok vydání: |
2017 |
| Předmět: |
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| Zdroj: |
C. R. Math. Acad. Sci. Paris 355 (2017), no. 9, 960-965 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.crma.2017.09.001 |
| Popis: |
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 $W^{\alpha, 1}$ of order $0 < \alpha < 1$. |
| Databáze: |
arXiv |
| Externí odkaz: |
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