An asymptotically sharp form of Ball’s integral inequality

Kerman, Ron; Ol’hava, Rastislav; Spektor, Susanna

doi:10.1090/proc/12505

An asymptotically sharp form of Ball’s integral inequality
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by Ron Kerman, Rastislav Ol’hava and Susanna Spektor PDF

Proc. Amer. Math. Soc. 143 (2015), 3839-3846 Request permission

Abstract:

We solve the open problem of determining the second order term in the asymptotic expansion of the integral in Ball’s integral inequality. In fact, we provide a method by which one can compute any term in the expansion. We also indicate how to derive an asymptotically sharp form of a generalized Ball’s integral inequality.

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