English

An asymptotically sharp form of Ball's integral inequality

Functional Analysis 2017-08-29 v1

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.

Keywords

Cite

@article{arxiv.1708.08099,
  title  = {An asymptotically sharp form of Ball's integral inequality},
  author = {Ron Kerman and Rastislav Ol'hava and Susanna Spektor},
  journal= {arXiv preprint arXiv:1708.08099},
  year   = {2017}
}
R2 v1 2026-06-22T21:24:34.706Z