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.

Area formula for centered Hausdorff measures in metric spaces

FRANCHI, BRUNO;
2015

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.
Franchi, Bruno; Serapioni, Raul Paolo; Serra Cassano, Francesco
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/524469
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