English

A remark on measures of sections of $L_p$-balls

Metric Geometry 2016-01-12 v1

Abstract

We show that the slicing problem holds true for subspaces of Lp,p>2L_p,p>2 in the setting of arbitrary measures in place of volume. This generalizes a result of Milman for the original slicing problem.

Keywords

Cite

@article{arxiv.1601.02441,
  title  = {A remark on measures of sections of $L_p$-balls},
  author = {Alexander Koldobsky and Alain Pajor},
  journal= {arXiv preprint arXiv:1601.02441},
  year   = {2016}
}