Complex Hanner's Inequality for Many Functions

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.

10 pages, 0 figures; typos corrected, references added, proofs of lemma 2 and 3 added

References in corpus (1)

• Sharpening the triangle inequality: envelopes between $L^2$ and $L^p$ spaces