Article ID Journal Published Year Pages File Type
4624589 Advances in Applied Mathematics 2016 22 Pages PDF
Abstract

In this paper, we establish the LpLp Loomis–Whitney inequality for even isotropic measures in terms of the support function of LpLp projection bodies with complete equality conditions. This generalizes Ball's Loomis–Whitney inequality to the LpLp setting. In addition, the sharp upper bound of the minimal p  -mean width of LpLp zonoids is obtained.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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