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arXiv · 1904.04549

A summability principle and applications

Nacib Albuquerque·Gustavo Araújo·Lisiane Rezende·Joedson Santos
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Abstract

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.

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Nacib Albuquerque, Gustavo Araújo, Lisiane Rezende, Joedson Santos. 2019-04-09. A summability principle and applications. https://arxiv.org/abs/1904.04549

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