Area formula for centered Hausdorff measures in metric spaces

DOI10.1016/j.na.2015.02.008zbMath1320.28007OpenAlexW2023189935MaRDI QIDQ494201

Raul Paolo Serapioni, Bruno Franchi, Francesco Serra Cassano

Publication date: 31 August 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11585/524469

zbMATH Keywords

metric spacesperimeterHausdorff measuresCarnot groups

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78)

Related Items (12)

Area of intrinsic graphs and coarea formula in Carnot groups ⋮ A study of measure-theoretic area formulas ⋮ On rectifiable measures in Carnot groups: existence of density ⋮ On rectifiable measures in Carnot groups: representation ⋮ \(\Gamma \)-convergence of variational functionals with boundary terms in Stein manifolds ⋮ Surface measure on, and the local geometry of, sub-Riemannian manifolds ⋮ Area formula for regular submanifolds of low codimension in Heisenberg groups ⋮ Marstrand-Mattila rectifiability criterion for 1-codimensional measures in Carnot groups ⋮ Intrinsic Lipschitz graphs in Carnot groups of step 2 ⋮ Intrinsic regular surfaces of low codimension in Heisenberg groups ⋮ Geometry of \(1\)-codimensional measures in Heisenberg groups ⋮ Rotational symmetries and spherical measure in homogeneous groups

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