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Licensed Unlicensed Requires Authentication Published by De Gruyter May 4, 2013

A remark on the anisotropic outer Minkowski content

  • Antonin Chambolle EMAIL logo , Stefano Lisini and Luca Lussardi


We study an anisotropic version of the outer Minkowski content of a closed set in n. 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.

We are grateful to the referees for their encouraging remarks.

Received: 2012-3-27
Revised: 2012-12-10
Accepted: 2013-4-5
Published Online: 2013-5-4
Published in Print: 2014-4-1

© 2014 by Walter de Gruyter Berlin/Boston

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