Polynomial and multilinear Hardy--Littlewood inequalities: analytical and numerical approaches
Functional Analysis
2018-04-02 v2
Abstract
We investigate the growth of the polynomial and multilinear Hardy--Littlewood inequalities. Analytical and numerical approaches are performed and, in particular, among other results, we show that a simple application of the best known constants of the Clarkson inequality improves a recent result of Araujo et al. We also obtain the optimal constants of the generalized Hardy--Littlewood inequality in some special cases.
Keywords
Cite
@article{arxiv.1503.00618,
title = {Polynomial and multilinear Hardy--Littlewood inequalities: analytical and numerical approaches},
author = {J. Campos and W. Cavalcante and V. Fávaro and D. Nuñez-Alarcón and D. Pellegrino and D. M. Serrano-Rodríguez},
journal= {arXiv preprint arXiv:1503.00618},
year = {2018}
}
Comments
The title was modified. The computer-assisted part of the previous version is now fixed and this new version has a new section which corresponds to the arXiv submission 1504.04207. The arXiv submission 1504.04207 does not exist as an independent paper and now is part of the present paper