Khinchin inequalities for uniforms on spheres with a deficit
Probability
2026-03-05 v4 Functional Analysis
Abstract
We sharpen the moment comparison inequalities with sharp constants for sums of random vectors uniform on Euclidean spheres, providing a deficit term (optimal in high dimensions).
Keywords
Cite
@article{arxiv.2506.22040,
title = {Khinchin inequalities for uniforms on spheres with a deficit},
author = {Jacek Jakimiuk and Colin Tang and Tomasz Tkocz},
journal= {arXiv preprint arXiv:2506.22040},
year = {2026}
}
Comments
Final version. To appear in Math. Z