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arXiv · 1506.00159

New lower bounds for the constants in the real polynomial Hardy--Littlewood inequality

W. Cavalcante·D. Nunez-Alarcon·D. Pellegrino
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Abstract

In this short note we obtain new lower bounds for the constants of the real Hardy--Littlewood inequality for $m$-linear forms on $\ell_{p}^{2}$ spaces when $p=2m$ and for certain values of $m$. The real and complex cases for the general case $\ell_{p}^{n}$ were recently investigated by G. Araujo et al. When $n=2$ our results improve the best known estimates for these constants.

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W. Cavalcante, D. Nunez-Alarcon, D. Pellegrino. 2015-05-30. New lower bounds for the constants in the real polynomial Hardy--Littlewood inequality. https://arxiv.org/abs/1506.00159

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