HESSIAN MEASURES OF CONVEX FUNCTIONS AND APPLICATIONS TO AREA MEASURES

DOI10.1112/S0024610704005915zbMath1073.52002OpenAlexW2105633983MaRDI QIDQ4673207

Daniel Hug, Andrea Colesanti

Publication date: 29 April 2005

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610704005915

zbMATH Keywords

convex functionRadon-Nikodym derivativeHessian measure\(j\)-extreme point

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Length, area, volume, other geometric measure theory (28A75) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Hausdorff and packing measures (28A78) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items (5)

A strictly convex Sobolev function with null Hessian minors ⋮ m-Pluripotential theory on Riemannian spaces and tropical geometry ⋮ Monge-Ampère operators and valuations ⋮ Equivariant endomorphisms of convex functions ⋮ Approximation by mappings with singular Hessian minors

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