Real-valued valuations on Sobolev spaces

DOI10.1007/s11425-015-5101-6zbMath1338.46019arXiv1505.02004OpenAlexW786284909MaRDI QIDQ295126

F. Blanchet-Sadri, M. Dambrine

Publication date: 17 June 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02004

zbMATH Keywords

Sobolev spaceconvex polytopevaluation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Geometry and structure of normed linear spaces (46B20) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Related Items (14)

Valuations on the Space of Quasi-Concave Functions ⋮ Fourier transform and valuations ⋮ Radial continuous rotation invariant valuations on star bodies ⋮ Laplace transforms and valuations ⋮ Translation invariant valuations on quasi-concave functions ⋮ A homogeneous decomposition theorem for valuations on convex functions ⋮ Geometric valuation theory ⋮ Minkowski valuations on convex functions ⋮ Invariant Valuations on Super-Coercive Convex Functions ⋮ \(\mathrm{SL}(n)\) covariant vector-valued valuations on \(L^p\)-spaces ⋮ Hessian valuations ⋮ Valuations on log-concave functions ⋮ A class of invariant valuations on \(\operatorname{Lip}(S^{n -1})\) ⋮ The support of dually epi-translation invariant valuations on convex functions

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