This paper investigates summability principles for multilinear summing operators. The main result presents a novel inclusion theorem for a class of summing operators, which generalizes several classical results. As applications, we derive improved estimates for Hardy--Littlewood inequalities on multilinear forms and prove a Grothendieck--type coincidence result in anisotropic settings.
@article{arxiv.1904.04549,
title = {A summability principle and applications},
author = {Nacib Albuquerque and Gustavo Araújo and Lisiane Rezende and Joedson Santos},
journal= {arXiv preprint arXiv:1904.04549},
year = {2025}
}