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arXiv · 1510.00909

On the mixed $\left( \ell _{1},\ell _{2}\right)$-Littlewood inequality for real scalars and applications

Daniel Pellegrino·Diana M. Serrano-Rodriguez
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Abstract

In this paper we obtain the sharp estimates for the mixed $\left( \ell_{1},\ell _{2}\right) $-Littlewood inequality for real scalars with exponents $\left(2,1,2,2....,2\right) .$ These results are applied to find sharp estimates for the constants of a family of $3$-linear Bohnenblust--Hille inequalities with multiple exponents.

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Daniel Pellegrino, Diana M. Serrano-Rodriguez. 2015-10-04. On the mixed $\left( \ell _{1},\ell _{2}\right)$-Littlewood inequality for real scalars and applications. https://arxiv.org/abs/1510.00909

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