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, B., Serapioni, R.P., Serra Cassano, F. (2015). Area formula for centered Hausdorff measures in metric spaces. NONLINEAR ANALYSIS, 126, 218-233 [10.1016/j.na.2015.02.008].
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.File in questo prodotto:
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