Complex Hanner's Inequality for Many Functions
Functional Analysis
2025-01-28 v2 Probability
Abstract
We establish Hanner's inequality for arbitrarily many functions in the setting where the Rademacher distribution is replaced with higher dimensional random vectors uniform on Euclidean spheres.
Cite
@article{arxiv.2207.09122,
title = {Complex Hanner's Inequality for Many Functions},
author = {Jonathan Jenkins and Tomasz Tkocz},
journal= {arXiv preprint arXiv:2207.09122},
year = {2025}
}
Comments
10 pages, 0 figures; typos corrected, references added, proofs of lemma 2 and 3 added