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arXiv · 2009.10754

An Elementary Exposition of Pisier's Inequality

Siddharth Iyer·Anup Rao·Victor Reis·Thomas Rothvoss·Amir Yehudayoff
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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.

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Siddharth Iyer, Anup Rao, Victor Reis, Thomas Rothvoss, Amir Yehudayoff. 2020-09-22. An Elementary Exposition of Pisier's Inequality. https://arxiv.org/abs/2009.10754

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