On the optimal $L_p$-$L_4$ Khintchine inequality
Probability
2025-03-18 v1 Functional Analysis
Metric Geometry
Abstract
We derive optimal dimension independent constants in the classical Khintchine inequality between the th and fourth moment for . As an application we deduce stability estimates for the Khintchine inequality between the th and second moment for .
Keywords
Cite
@article{arxiv.2503.11869,
title = {On the optimal $L_p$-$L_4$ Khintchine inequality},
author = {Adam Barański and Daniel Murawski and Piotr Nayar and Krzysztof Oleszkiewicz},
journal= {arXiv preprint arXiv:2503.11869},
year = {2025}
}