The functional version of the Ball inequality

Huang, Qingzhong; Li, Ai-Jun

doi:10.1090/proc/13660

The functional version of the Ball inequality
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by Qingzhong Huang and Ai-Jun Li PDF

Proc. Amer. Math. Soc. 145 (2017), 3531-3541 Request permission

Abstract:

K. Ball proved a strengthening of the Blaschke-Santaló inequality for unconditional convex bodies in $\mathbb {R}^n$. In this paper, we characterize the uniqueness of this inequality and establish its functional version.

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