A note on the fractional perimeter and interpolation

dc.citation.epage	965	en_US
dc.citation.spage	960	en_US
dc.citation.volume	355	en_US
dc.contributor.author	Ponce, Augusto C.	en_US
dc.contributor.author	Spector, Daniel	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.date.accessioned	2018-08-21T05:52:50Z
dc.date.available	2018-08-21T05:52:50Z
dc.date.issued	2017-09-01	en_US
dc.description.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 W-alpha,W-1 of order 0 < alpha < 1. (C) 2017 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.	en_US
dc.identifier.doi	10.1016/j.crma.2017.09.001	en_US
dc.identifier.issn	1631-073X	en_US
dc.identifier.journal	COMPTES RENDUS MATHEMATIQUE	en_US
dc.identifier.uri	http://dx.doi.org/10.1016/j.crma.2017.09.001	en_US
dc.identifier.uri	https://ir.lib.nycu.edu.tw/handle/11536/143999
dc.identifier.wosnumber	WOS:000413930000007	en_US
dc.language.iso	en_US	en_US
dc.title	A note on the fractional perimeter and interpolation	en_US
dc.type	Article	en_US

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