A note on the fractional perimeter and interpolation

Augusto C. Ponce; Daniel Spector

doi:10.1016/j.crma.2017.09.001

A note on the fractional perimeter and interpolation

Augusto C. Ponce
, Daniel Spector

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

5 引文斯高帕斯（Scopus）

摘要

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^α,1 of order 0<α<1.

原文	英語
頁（從 - 到）	960-965
頁數	6
期刊	Comptes Rendus Mathematique
卷	355
發行號	9
DOIs	https://doi.org/10.1016/j.crma.2017.09.001
出版狀態	已發佈 - 2017 9月

ASJC Scopus subject areas

一般數學

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10.1016/j.crma.2017.09.001

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A note on the fractional perimeter and interpolation

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