Minkowski valuations on $L^{p}$-spaces

DOI10.1090/S0002-9947-2012-05681-9zbMath1279.52008MaRDI QIDQ2844835

Andy Tsang

Publication date: 20 August 2013

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

zbMATH Keywords

projection bodyMinkowski valuationmoment bodymoment vector

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) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (23)

Valuations on the Space of Quasi-Concave Functions ⋮ Real-valued valuations on Sobolev spaces ⋮ Fourier transform and valuations ⋮ \(M\)-addition ⋮ \(L_{p}\) Minkowski valuations on polytopes ⋮ Laplace transforms and valuations ⋮ Translation invariant valuations on quasi-concave functions ⋮ Covariance matrices and valuations ⋮ Valuations on Orlicz spaces and \(L^\phi\)-star sets ⋮ Geometric valuation theory ⋮ Minkowski valuations on convex functions ⋮ Monge-Ampère operators and valuations ⋮ Convex geometry and its applications. Abstracts from the workshop held December 12--18, 2021 (hybrid meeting) ⋮ Volume, polar volume and Euler characteristic for convex functions ⋮ Continuous valuations on the space of Lipschitz functions on the sphere ⋮ Invariant Valuations on Super-Coercive Convex Functions ⋮ \(\mathrm{SL}(n)\) covariant vector-valued valuations on \(L^p\)-spaces ⋮ Hessian valuations ⋮ Monotone valuations on the space of convex functions ⋮ Valuations on log-concave functions ⋮ The support of dually epi-translation invariant valuations on convex functions ⋮ Minkowski valuations on $L^{p}$-spaces ⋮ \(L_p\)-Minkowski valuations on \(L^q\)-spaces

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