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.

Lussardi, L., Villa, E., A general formula for the anisotropic outer Minkowski content of a set, <<PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS>>, 2016; 146 (02): 393-413. [doi:10.1017/S0308210515000542] [http://hdl.handle.net/10807/73500]

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

Lussardi, Luca
Primo
;
Villa, Elena
Ultimo
2016

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.
2016
Inglese
Lussardi, L., Villa, E., A general formula for the anisotropic outer Minkowski content of a set, <<PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS>>, 2016; 146 (02): 393-413. [doi:10.1017/S0308210515000542] [http://hdl.handle.net/10807/73500]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/73500
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