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Sharp Metric XpX_p Inequalities via Martingales

Nika Areshidze

Source record

Source: arXiv

Published: Aug 29, 2026

arXiv: 2608.29367

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Source abstract

We prove a sharp higher-order Rademacher-chaos inequality on the Hamming cube using random-reveal martingales. As a consequence, we obtain the sharp metric XpX_p inequality for LpL^p, resolving an open question posed by Naor.

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