An Elementary Exposition of Pisier's Inequality
Functional Analysis
2020-09-24 v1 Metric Geometry
Abstract
Pisier's inequality is central in the study of normed spaces and has important applications in geometry. We provide an elementary proof of this inequality, which avoids some non-constructive steps from previous proofs. Our goal is to make the inequality and its proof more accessible, because we think they will find additional applications. We demonstrate this with a new type of restriction on the Fourier spectrum of bounded functions on the discrete cube.
Keywords
Cite
@article{arxiv.2009.10754,
title = {An Elementary Exposition of Pisier's Inequality},
author = {Siddharth Iyer and Anup Rao and Victor Reis and Thomas Rothvoss and Amir Yehudayoff},
journal= {arXiv preprint arXiv:2009.10754},
year = {2020}
}