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

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