On a measure-theoretic area formula
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Publication:3452146
DOI10.1017/S030821051500013XzbMath1327.28004arXiv1401.2536OpenAlexW2963734524WikidataQ125995454 ScholiaQ125995454MaRDI QIDQ3452146
Publication date: 18 November 2015
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.2536
Hausdorff and packing measures (28A78) Abstract differentiation theory, differentiation of set functions (28A15)
Related Items (11)
Area of intrinsic graphs and coarea formula in Carnot groups ⋮ A study of measure-theoretic area formulas ⋮ Towards a theory of area in homogeneous groups ⋮ \(\Gamma \)-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 ⋮ Rectifiability of the reduced boundary for sets of finite perimeter over \(\operatorname{RCD} ( K , N )\) spaces ⋮ Area formula for centered Hausdorff measures in metric spaces ⋮ Rigidity of the 1-Bakry-Émery inequality and sets of finite Perimeter in RCD spaces ⋮ Removable sets for Lipschitz harmonic functions on Carnot groups ⋮ Rotational symmetries and spherical measure in homogeneous groups
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