Projection body and isoperimetric inequalities for \(s\)-concave functions
From MaRDI portal
Publication:6167108
DOI10.1007/s11401-023-0025-xOpenAlexW4378549745MaRDI QIDQ6167108
Publication date: 7 July 2023
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-023-0025-x
Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Inequalities involving derivatives and differential and integral operators (26D10)
Cites Work
- Sharp affine Sobolev type inequalities via the \(L_{p}\) Busemann-Petty centroid inequality
- Support functions and mean width for \(\alpha\)-concave functions
- Functional affine-isoperimetry and an inverse logarithmic Sobolev inequality
- The affine Sobolev-Zhang inequality on BV(\(\mathbb R^n)\)
- Sharp convex Lorentz-Sobolev inequalities
- Restricted chord projection and affine inequalities
- Some functional inverse Santaló inequalities
- A direct proof of the functional Santaló inequality
- Partitions and functional Santaló inequalities
- Affine Moser-Trudinger and Morrey-Sobolev inequalities
- The affine Sobolev inequality.
- LYZ ellipsoid and Petty projection body for log-concave functions
- A reverse Rogers-Shephard inequality for log-concave functions
- Sharp affine \(L_ p\) Sobolev inequalities.
- Mixed integrals and related inequalities
- \(\alpha\)-concave functions and a functional extension of mixed volumes
- The Busemann-Petty problem on entropy of log-concave functions
- An extension of Berwald's inequality and its relation to Zhang's inequality
- Rogers-Shephard and local Loomis-Whitney type inequalities
- The sharp convex mixed Lorentz-Sobolev inequality
- Some functional forms of Blaschke-Santaló inequality
- Asymmetric affine \(L_p\) Sobolev inequalities
- Affine Orlicz Pólya-Szegő principle for log-concave functions
- Stability of the functional forms of the Blaschke-Santaló inequality
- The first variation of the total mass of log-concave functions and related inequalities
- Divergence for \(s\)-concave and log concave functions
- Zu einem Problem von Shephard über die Projektionen konvexer Körper
- Geometry of log-concave functions and measures
- Functional Versions ofLp-Affine Surface Area and Entropy Inequalities
- Functional Inequalities related to the Rogers‐Shephard Inequality
- Volume Ratios and a Reverse Isoperimetric Inequality
- The Brunn-Minkowski inequality
- Zhang’s Inequality for Log-Concave Functions
- Mixedf-divergence and inequalities for log-concave functions
- A note on Santaló inequality for the polarity transform and its reverse
- The Santaló point of a function, and a functional form of the Santaló inequality
- Convex Analysis
- A Class of Convex Bodies
- An inequality related to the isoperimetric inequality
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Projection body and isoperimetric inequalities for \(s\)-concave functions