Logarithmically concave functions and sections of convex sets in $R^{n}$

Keith Ball

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Displaying similar documents to “Logarithmically concave functions and sections of convex sets in $R^{n}$ ”

Remark on generalization of Minkowski's inequality

Jiří Jelínek, Janusz Matkowski (1995)

Acta Universitatis Carolinae. Mathematica et Physica

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Between Paouris concentration inequality and variance conjecture

B. Fleury (2010)

Annales de l'I.H.P. Probabilités et statistiques

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We prove an almost isometric reverse Hölder inequality for the euclidean norm on an isotropic generalized Orlicz ball which interpolates Paouris concentration inequality and variance conjecture. We study in this direction the case of isotropic convex bodies with an unconditional basis and the case of general convex bodies.