The complex Busemann-Petty problem for arbitrary measures

DOI10.1007/S00013-008-2863-XzbMath1160.52005arXiv0807.0779OpenAlexW2161630387MaRDI QIDQ999100

Marisa Zymonopoulou

Publication date: 30 January 2009

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.0779

zbMATH Keywords

Fourier transformsectionsconvex bodies\(k\)-intersection bodies

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (12)

Estimates for the extremal sections of complex \(\ell_p\)-balls ⋮ Stability related to the Lp$L_p$ Busemann–Petty problem ⋮ Inequalities for complex centroid bodies ⋮ Stability of volume comparison for complex convex bodies ⋮ Sections of convex bodies with symmetries ⋮ The Busemann theorem for complex \(p\)-convex bodies ⋮ The isomorphic Busemann-Petty problem for \(s\)-concave measures ⋮ Volume inequalities for complex isotropic measures ⋮ Mixed complex brightness integrals ⋮ The Busemann–Petty problem in the complex hyperbolic space ⋮ The Busemann-Petty problem on entropy of log-concave functions ⋮ Dual mixed complex brightness integrals

This page was built for publication: The complex Busemann-Petty problem for arbitrary measures