Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624589 | Advances in Applied Mathematics | 2016 | 22 Pages |
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
Ai-Jun Li, Qingzhong Huang,