Area formula for centered Hausdorff measures in metric spaces

By Bruno Franchi, Raul Paolo Serapioni, Francesco Serra Cassano. 2015

47 citations recorded by the source corpus.

Abstract Motivated by an example in Magnani (in press), we study, inside a separable metric space ( X , d ) , the relations between centered and non centered m -dimensional densities of a Radon measure μ in X and their relations with spherical and centered spherical m -dimensional Hausdorff measures. Eventually we give an application to finite perimeter sets in Carnot groups.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/b3ee290d7197fd6149d089821fade07cccc4e350

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In Applied Mathematics

1. Davide Barilari
2. Ugo V. Boscain
3. Andrei A. Agrachev
4. L. Rizzi
5. Robert W. Neel
6. Igor Zelenko
7. Fabrice Baudoin
8. Gregoire Charlot

In Computational Theory and Mathematics

1. Ugo V. Boscain
2. Andrei A. Agrachev
3. Davide Barilari

Citations in the corpus

• A Comprehensive Introduction to Sub-Riemannian Geometry (2019, methodology): “We refer, for instance, to the paper [FSSC15] for a discussion on centered Hausdorff measure and its comparison to spherical one.”