An isomorphic version of the Busemann-Petty problem for arbitrary measures

From MaRDI portal
Publication:2256264

DOI10.1007/s10711-014-0016-xzbMath1309.52004arXiv1405.0567OpenAlexW1965029184MaRDI QIDQ2256264

Alexander L. Koldobsky, Artem Zvavitch

Publication date: 19 February 2015

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0567



Related Items

Existence of solution for Lp-Minkowski problem of 0 < p < 1 with measures in ℝn, A generalization of \(L_{p}\)-Brunn-Minkowski inequalities and \(L_{p}\)-Minkowski problems for measures, The measure-comparison problem for polar \((p, \mu)\)-centroid bodies, Inequalities for the derivatives of the Radon transform on convex bodies, On the Comparison of Measures of Convex Bodies via Projections and Sections, Measure comparison and distance inequalities for convex bodies, Firey-Shephard problems for homogeneous measures, Approximations of convex bodies by measure-generated sets, A discrete version of Koldobsky's slicing inequality, Weighted Minkowski’s existence theorem and projection bodies, Comparison problems for Radon transforms, General measure extensions of projection bodies, Stability related to the Lp$L_p$ Busemann–Petty problem, The Busemann-Petty problem for \(L_p\)-mixed radial Blaschke-Minkowski homomorphisms, An example related to the slicing inequality for general measures, Estimates for moments of general measures on convex bodies, Estimates for measures of lower dimensional sections of convex bodies, The isomorphic Busemann-Petty problem for \(s\)-concave measures, Slicing inequalities for measures of convex bodies, Isomorphic Busemann-Petty problem for sections of proportional dimensions, An extension of Minkowski's theorem and its applications to questions about projections for measures, The Busemann-Petty problem on entropy of log-concave functions, Affine invariant maps for log-concave functions



Cites Work