Steiner type formulae and weighted measures of singularities for semi-convex functions
From MaRDI portal
Publication:4955728
DOI10.1090/S0002-9947-00-02671-4zbMath1096.49021MaRDI QIDQ4955728
Publication date: 22 May 2000
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
nonsmooth analysissingularitiesconvex functionSteiner formulaweighted Hausdorff measuressemi--convex function
Nonsmooth analysis (49J52) Convex functions and convex programs in convex geometry (52A41) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Hausdorff and packing measures (28A78)
Related Items
Currents carried by the subgradient graphs of semi-convex functions and applications to Hessian measures ⋮ m-Pluripotential theory on Riemannian spaces and tropical geometry ⋮ The Hadwiger theorem on convex functions. III: Steiner formulas and mixed Monge-Ampère measures ⋮ A homogeneous decomposition theorem for valuations on convex functions ⋮ The Hadwiger theorem on convex functions. IV: The Klain approach ⋮ Monge-Ampère operators and valuations ⋮ The Steiner formula for Minkowski valuations ⋮ On \(L^2\)-estimates for \(\bar\partial\) on a pseudoconvex domain in a complete Kähler manifold with positive holomorphic bisectional curvature ⋮ On the characterization of some classes of proximally smooth sets ⋮ Hessian valuations ⋮ Absolute continuity for curvature measures of convex sets. III
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Tubular neighborhoods in Euclidean spaces
- Integral and current representation of Federer's curvature measures
- Sets with positive reach
- Curvature measures and Steiner formulae in space forms
- On the singularities of convex functions
- Isoperimetric inequalities for quermassintegrals
- Curvature Measures
- Optimization and nonsmooth analysis
- Generalized curvature measures and singularities of sets with positive reach
- A Steiner type formula for convex functions