A Remark on Measures of Sections of $$\boldsymbol{L}_{p}$$ -balls

DOI10.1007/978-3-319-45282-1_14zbMath1369.52005arXiv1601.02441OpenAlexW2606320486MaRDI QIDQ5278296

Alain Pajor, Alexander L. Koldobsky

Publication date: 13 July 2017

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.02441

zbMATH Keywords

slicing inequalitymeasures of sections of \(L_{p}\)-balls

Mathematics Subject Classification ID

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

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Inequalities for the derivatives of the Radon transform on convex bodies, On the average volume of sections of convex bodies, Comparison problems for Radon transforms, The Lower Bound for Koldobsky’s Slicing Inequality via Random Rounding, Volume difference inequalities, Probabilistic condition number estimates for real polynomial systems. I: A broader family of distributions, An example related to the slicing inequality for general measures, Estimates for moments of general measures on convex bodies, A general slicing inequality for measures of convex bodies

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