Semi-Valuations on $BV(\\mathbb R^n)$

DOI10.1512/iumj.2014.63.5365zbMath1320.46035OpenAlexW601291244MaRDI QIDQ2940948

Tuo Wang

Publication date: 21 January 2015

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/IUMJ/ABS/2014/5365

zbMATH Keywords

functions of bounded variationvaluationLYZ-operatorMinkowski semi-valuationoptimal Sobolev norm

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

Valuations on the Space of Quasi-Concave Functions, Real-valued valuations on Sobolev spaces, Fourier transform and valuations, 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, Volume, polar volume and Euler characteristic for convex functions, Invariant Valuations on Super-Coercive Convex Functions, \(\mathrm{SL}(n)\) covariant vector-valued valuations on \(L^p\)-spaces, The \(L^p\) Gagliardo-Nirenberg-Zhang inequality, Monotone valuations on the space of convex functions, A class of invariant valuations on \(\operatorname{Lip}(S^{n -1})\), The support of dually epi-translation invariant valuations on convex functions, Valuations on convex functions and convex sets and Monge-Ampère operators