Area formula for centered Hausdorff measures in metric spaces. (October 2015)

• Record Type: Journal Article
• Authors: Franchi, Bruno; Serapioni, Raul Paolo; Serra Cassano, Francesco
• Is Part Of: Nonlinear analysis. Volume 126(2015)
• Page Start: 218
• Page End: 233
• Publication Date: 2015-10
• Subjects: Hausdorff measures -- Metric spaces -- Perimeter -- Carnot groups; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2015.02.008
• Languages: English
• ISSNs: 0362-546X

Abstract

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.