Anisotropic Regularity Principle in sequence spaces and applications

Nacib Albuquerque; Lisiane Rezende

doi:10.1142/S0219199717500870

Anisotropic Regularity Principle in sequence spaces and applications

Functional Analysis 2017-11-02 v2

Authors: Nacib Albuquerque , Lisiane Rezende

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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

regularity theory

Cite

@article{arxiv.1706.00821,
  title  = {Anisotropic Regularity Principle in sequence spaces and applications},
  author = {Nacib Albuquerque and Lisiane Rezende},
  journal= {arXiv preprint arXiv:1706.00821},
  year   = {2017}
}