Comparison problems for Radon transforms
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Publication:6065311
DOI10.1016/j.aim.2023.109336zbMath1530.44002arXiv2305.17796MaRDI QIDQ6065311
Artem Zvavitch, Michael Roysdon, Alexander L. Koldobsky
Publication date: 14 November 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.17796
Radon transformBusemann-Petty problemintersection bodiesstar bodiesspherical Radon transformslicing inequalities
Cites Work
- A hyperplane inequality for measures of convex bodies in \(\mathbb R^{n }, \; n\leq 4\)
- An example related to the slicing inequality for general measures
- Estimates for measures of lower dimensional sections of convex bodies
- Isomorphic Busemann-Petty problem for sections of proportional dimensions
- On convex perturbations with a bounded isotropic constant
- Intersection bodies and dual mixed volumes
- The Radon transform.
- An analytic solution to the Busemann-Petty problem on sections of convex bodies
- An isomorphic version of the slicing problem
- The Busemann-Petty problem for arbitrary measures
- Gaussian measure of sections of convex bodies
- An almost constant lower bound of the isoperimetric coefficient in the KLS conjecture
- Bourgain's slicing problem and KLS isoperimetry up to polylog
- Inequalities for the derivatives of the Radon transform on convex bodies
- An isomorphic version of the Busemann-Petty problem for arbitrary measures
- Isoperimetric inequalities and identities for \(k\)-dimensional cross-sections of convex bodies
- Functional analytic characterizations of classes of convex bodies
- Norm estimates for \(k\)-plane transforms and geometric inequalities
- A \(\sqrt{n}\) estimate for measures of hyperplane sections of convex bodies
- Slicing inequalities for measures of convex bodies
- Integral Geometry and Radon Transforms
- Extremizers of a Radon transform inequality
- Problems on convex bodies
- On High Dimensional Maximal Functions Associated to Convex Bodies
- Intersection bodies, positive definite distributions, and the Busemann-Petty problem
- Variants of the Busemann–Petty Problem and of the Shephard Problem
- Sections of Convex Bodies
- Inequalities for the Radon Transform on Convex Sets
- Measure comparison and distance inequalities for convex bodies
- The Lower Bound for Koldobsky’s Slicing Inequality via Random Rounding
- A Remark on Measures of Sections of $$\boldsymbol{L}_{p}$$ -balls
- Convex Bodies The Brunn-MinkowskiTheory
- Inequalities for sections and projections of convex bodies
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