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arXiv · 1504.04207

A nontrivial closed formula for the lower bounds for the constants of the real Hardy-Littlewood inequalities

Daniel Pellegrino
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Abstract

This note has a twofold purpose. To improve the best known lower estimates of the Hardy-Littlewood inequality for $m$-linear forms in $\ell_{p}$ spaces and to provide a closed formula encompassing the cases $p>2m$ and $% p=2m.$ Our approach is quite simpler than the previous and uses the best known constants of the Clarkson's inequalities.

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Daniel Pellegrino. 2015-04-16. A nontrivial closed formula for the lower bounds for the constants of the real Hardy-Littlewood inequalities. https://arxiv.org/abs/1504.04207

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