Complex \(L_p\) affine isoperimetric inequalities

DOI10.1016/j.aam.2020.102108zbMath1458.52003OpenAlexW3090968947MaRDI QIDQ2221778

Lijuan Liu, Wei Wang

Publication date: 2 February 2021

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2020.102108

zbMATH Keywords

convex body\( L_p\) affine isoperimetric inequalities\( L_p\) mixed volume

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

General complex \(L_p\) projection bodies and complex \(L_p\) mixed projection bodies ⋮ Complex \(L_p\)-intersection bodies

Cites Work

• Sharp affine Sobolev type inequalities via the \(L_{p}\) Busemann-Petty centroid inequality
• New approach to the affine Pólya-Szegö principle and the stability version of the affine Sobolev inequality
• Shadow systems of asymmetric \(L_p\) zonotopes
• Projection bodies in complex vector spaces
• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• Centroid surfaces
• Orlicz centroid bodies
• General \(L_{p}\) affine isoperimetric inequalities
• Orlicz projection bodies
• On some affine isoperimetric inequalities
• Blaschke-Santaló inequalities
• The \(L^p\)-Busemann-Petty centroid inequality
• The affine Sobolev inequality.
• \(L_ p\) affine isoperimetric inequalities.
• Sharp affine \(L_ p\) Sobolev inequalities.
• Projection bodies and valuations
• Moment-entropy inequalities.
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• Complex affine isoperimetric inequalities
• Subword complexity and projection bodies
• A General Isepiphanic Inequality
• Centroid Bodies and Dual Mixed Volumes
• Convolutions, Transforms, and Convex Bodies
• Convex and Discrete Geometry
• Convex Bodies The Brunn-MinkowskiTheory
• Minkowski valuations
• Centroid bodies and comparison of volumes
• $p$-Means of Convex Bodies.
• A Class of Convex Bodies
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item