A note on multiple summing operators and applications

Abstract

We prove a new result on multiple summing operators and among other applications, we provide a new extension of Littlewood's $4/3$ inequality to $m$-linear forms.

References in corpus (2)

• Optimal estimates for summing multilinear operators
• Optimal Hardy-Littlewood type inequalities for $m$-linear forms on ${\ell }_p$ spaces with $1\le p\le m$