Affiliation:
1. Departamento de Matemática, Universidade Federal da Paraíba, 58.051-900, João Pessoa — PB, Brazil
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.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,General Mathematics
Cited by
9 articles.
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1. Summing multilinear operators and sequence classes;Topological Methods in Nonlinear Analysis;2024-06-16
2. Unified Grothendieck’s and Kwapień’s Theorems for Multilinear Operators;Bulletin of the Brazilian Mathematical Society, New Series;2023-12-14
3. Coefficients of Multilinear Forms on Sequence Spaces;Bulletin of the Brazilian Mathematical Society, New Series;2023-08-05
4. Super-critical Hardy-Littlewood inequalities for multilinear forms;Anais da Academia Brasileira de Ciências;2023
5. The Orlicz inequality for multilinear forms;Journal of Mathematical Analysis and Applications;2022-01