English

Some applications of the H\"older inequality for mixed sums

Functional Analysis 2016-10-05 v2

Abstract

We use the H\"{o}lder inequality for mixed exponents to prove some optimal variants of the generalized Hardy--Littlewood inequality for mm-linear forms on p\ell _{p} spaces with mixed exponents. Our results extend recent results of Araujo et al.

Keywords

Cite

@article{arxiv.1509.09162,
  title  = {Some applications of the H\"older inequality for mixed sums},
  author = {Nacib Albuquerque and Tony Nogueira and Daniel Nunez-Alarcon and Daniel Pellegrino and Pilar Rueda},
  journal= {arXiv preprint arXiv:1509.09162},
  year   = {2016}
}