Rafał Latała, Piotr Nayar
Published 2019-07-23Version 1
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.
Weak and strong moments of l_r-norms of log-concave vectors
Comparison of weak and strong moments for vectors with independent coordinates
On the monotonicity of discrete entropy for log-concave random vectors on $\mathbb{Z}^d$
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