A general formula for the anisotropic outer Minkowski content of a set

Luca Lussardi; Elena Villa

doi:10.1017/S0308210515000542

A general formula for the anisotropic outer Minkowski content of a set

Luca Lussardi, Elena Villa

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

3 Citazioni (Scopus)

Abstract

We generalize to the anisotropic case some classical and recent results on the (n-1)-Minkowski content of rectifiable sets in R^n, and on the outer Minkowski content of subsets of R^n. In particular, a general formula for the anisotropic outer Minkowski content is provided; it applies to a wide class of sets, stable under finite unions.

Lingua originale	English
pagine (da-a)	393-413
Numero di pagine	21
Rivista	PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS
Volume	146
DOI	https://doi.org/10.1017/S0308210515000542
Stato di pubblicazione	Pubblicato - 2016
Pubblicato esternamente	Sì

Keywords

Minkowski content
anisotropy

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10.1017/S0308210515000542

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A general formula for the anisotropic outer Minkowski content of a set

Abstract

Keywords

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