We generalize to the anisotropic case some classical and recent results on the (n - 1)-Minkowski content of rectifiable sets in Rn, and on the outer Minkowski content of subsets of Rn. In particular, a general formula for the anisotropic outer Minkowski content is provided; it applies to a wide class of sets that are stable under finite unions.
A general formula for the anisotropic outer Minkowski content of a set / L. Lussardi, E. Villa. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 146:2(2016 Apr), pp. 393-413. [10.1017/S0308210515000542]
A general formula for the anisotropic outer Minkowski content of a set
E. VillaUltimo
2016
Abstract
We generalize to the anisotropic case some classical and recent results on the (n - 1)-Minkowski content of rectifiable sets in Rn, and on the outer Minkowski content of subsets of Rn. In particular, a general formula for the anisotropic outer Minkowski content is provided; it applies to a wide class of sets that are stable under finite unions.
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