On the mixed (ℓ_1,ℓ_2)-Littlewood inequalities and interpolation

DOI10.7153/MIA-2018-21-51zbMath1429.47001arXiv1604.06142OpenAlexW2888387480MaRDI QIDQ4685279

Joedson Santos, Mariana Maia

Publication date: 5 October 2018

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06142

zbMATH Keywords

mixed \((\ell_1,\ell_2)\)-Littlewood inequality

Mathematics Subject Classification ID

Multilinear and polynomial operators (47H60)

Related Items (3)

On summability of multilinear operators and applications ⋮ The best constants in the multiple Khintchine inequality ⋮ Optimal constants of the mixed Littlewood inequalities: the complex case

Cites Work

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• On the upper bounds for the constants of the Hardy-Littlewood inequality
• The Bohr radius of the \(n\)-dimensional polydisk is equivalent to \(\sqrt{(\log n) / n}\)
• Summability of multilinear mappings: Littlewood, Orlicz and beyond
• The optimal constants of the mixed \((\ell_{1},\ell_{2})\)-Littlewood inequality
• On the generalized Bohnenblust-Hille inequality for real scalars
• Factorization of \textit{p}-dominated polynomials through \({L}^p\)-spaces
• Blei's inequality and coordinatewise multiple summing operators

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