Hadamard products and moments of random vectors

Abstract

We derive new comparison inequalities between weak and strong moments of norms of random vectors with optimal (up to an universal factor) constants. We discuss applications to the concentration of log-concave random vectors and bounds on $p$-summing norms of finite rank operators.

9 pages

References in corpus (3)

• A short proof of Paouris' inequality
• Weak and strong moments of l_r-norms of log-concave vectors
• On ${\mathcal{Z}}_p$-norms of random vectors