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; Serapioni, Raul Paolo; Serra Cassano, Francesco. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 126:(2015), pp. 10463.218-10463.233. [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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