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The best constants in the Multiple Khintchine Inequality

Functional Analysis 2018-07-19 v4
Authors: Daniel Núñez-Alarcón , Diana M. Serrano-Rodríguez
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Abstract

In this work we provide the best constants of the multiple Khintchine inequality. This allows us, among other results, to obtain the best constants of the mixed (ℓpp−1,ℓ2)\left( \ell_{\frac{p}{p-1}},\ell_{2}\right) -Littlewood inequality, thus ending completely a work started by Pellegrino in \cite{pell}.

Keywords

multiple Khintchine inequality best constants Littlewood inequality mixed norms functional analysis

Cite

@article{arxiv.1704.01029,
  title  = {The best constants in the Multiple Khintchine Inequality},
  author = {Daniel Núñez-Alarcón and Diana M. Serrano-Rodríguez},
  journal= {arXiv preprint arXiv:1704.01029},
  year   = {2018}
}

Comments

16 pages

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