A Remark on the Anisotropic Outer Minkowski content

Details A Remark on the Anisotropic Outer Minkowski content A Remark on the Anisotropic Outer Minkowski content

2012-03-23

arxiv.org/abs/1203.5190v1

Mathematics

Numerical Analysis

Scientific paper

We study an anisotropic version of the outer Minkowski content of a closed
set in Rn. In particular, we show that it exists on the same class of sets for
which the classical outer Minkowski content coincides with the Hausdorff
measure, and we give its explicit form.

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