Rectifiable sets and coarea formula for metric-valued mappings

DOI10.1016/J.JFA.2007.10.013zbMATH Open1159.28002OpenAlexW2027884648MaRDI QIDQ2476496

M. B. Karmanova

Publication date: 20 March 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.10.013

zbMATH Keywords

implicit function theoremLipschitz functionscoarea formula

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Length, area, volume, other geometric measure theory (28A75) Spaces of measures (46E27) Hausdorff and packing measures (28A78)

Cites Work

• Metric differentiability of mappings and geometric measure theory
• Rectifiable sets and the coarea formula for metric-valued mappings
• Differentiation of integrals in \(\mathbb{R}^n\)
• Rectifiable sets in metric and Banach spaces
• Sobolev-type classes of functions with values in a metric space
• Curvature Measures
• Rectifiable Metric Spaces: Local Structure and Regularity of the Hausdorff Measure
• The co-area formula for Sobolev mappings
• Increasing Sequences of Sets and Hausdorff Measure
• Currents in metric spaces
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Related Items (10)

A bridge between Dubovitskiĭ-Federer theorems and the coarea formula ⋮ A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces ⋮ Hard Sard: quantitative implicit function and extension theorems for Lipschitz maps ⋮ An implicit theorem for Lipschitz mappings into metric spaces ⋮ Harmonic branched coverings and uniformization of \(\operatorname{CAT}(k)\) spheres ⋮ Title not available (Why is that?) ⋮ Example of a smooth homeomorphism violating the Luzin \(N^{-1}\) property ⋮ Title not available (Why is that?) ⋮ Obtuse constants of Alexandrov spaces ⋮ The structure of submetries

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