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Anisotropic regularity principle in sequence spaces and applications

Nacib Albuquerque

Departamento de Matemática, Universidade Federal da Paraíba, 58.051-900, João Pessoa — PB, Brazil

E-mail Address: ngalbqrq@gmail.com

E-mail Address: ngalbuquerque@pq.cnpq.br

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and

Lisiane Rezende

Departamento de Matemática, Universidade Federal da Paraíba, 58.051-900, João Pessoa — PB, Brazil

E-mail Address: lirezendestos@gmail.com

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https://doi.org/10.1142/S0219199717500870Cited by:8 (Source: Crossref)

Abstract

We refine a recent technique introduced by Pellegrino, Santos, Serrano and Teixeira and prove a quite general anisotropic regularity principle in sequence spaces. As applications, we generalize previous results of several authors regarding Hardy–Littlewood inequalities for multilinear forms.

Keywords:

AMSC: 46G25, 47H60

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