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arXiv · 1908.01257

On Extensions of the Loomis-Whitney Inequality and Ball's Inequality for Concave, Homogeneous Measures

Johannes Hosle
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Abstract

The Loomis-Whitney inequality states that the volume of a convex body is bounded by the product of volumes of its projections onto orthogonal hyperplanes. We provide an extension of both this fact and a generalization of this fact due to Ball to the context of $q-$concave, $\frac{1}{q}-$homogeneous measures.

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Johannes Hosle. 2019-08-04. On Extensions of the Loomis-Whitney Inequality and Ball's Inequality for Concave, Homogeneous Measures. https://arxiv.org/abs/1908.01257

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