English

The optimal constants in Khintchine's inequality for the case 2<p<3

Functional Analysis 2017-09-11 v1

Abstract

A mean step in Haagerup's proof for the optimal constants in Khintchine's inequality is to show integral inequalities of type (gsfs)dμ0\int(g^s-f^s)\mathrm{d}\mu\geq 0. F.L. Nazarov and A.N. Podkorytov made Haagerup's proof much more clearer for the case 0<p<2 by using a lemma on distribution functions. In this article we want to treat the case 2<p<3 with their technique.

Keywords

Cite

@article{arxiv.1601.07850,
  title  = {The optimal constants in Khintchine's inequality for the case 2<p<3},
  author = {Olaf Mordhorst},
  journal= {arXiv preprint arXiv:1601.07850},
  year   = {2017}
}