Remarks on an inequality of Hardy and Littlewood

DOI10.2989/16073606.2016.1260071OpenAlexW2566610798MaRDI QIDQ5236155

Wasthenny Vasconcelos Cavalcante, Daniel Núñez-Alarcón

Publication date: 15 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2016.1260071

zbMATH Keywords

multiple summing operatorsHardy and Littlewood inequalities

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Inequalities for sums, series and integrals (26D15)

Related Items (11)

Anisotropic regularity principle in sequence spaces and applications ⋮ Optimal Hardy–Littlewood inequalities uniformly bounded by a universal constant ⋮ A new estimate for the constants of an inequality due to Hardy and Littlewood ⋮ Optimal exponents for Hardy-Littlewood inequalities for \(m\)-linear operators ⋮ Optimal constants for a mixed Littlewood type inequality ⋮ Some applications of the Hölder inequality for mixed sums ⋮ A note on the Hardy-Littlewood inequalities for multilinear forms ⋮ Optimal blow up rate for the constants of Khinchin type inequalities ⋮ Ideals of polynomials between Banach spaces revisited ⋮ The best constants in the multiple Khintchine inequality ⋮ Optimal constants of the mixed Littlewood inequalities: the complex case

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• An interpolation approach to Hardy-Littlewood inequalities for norms of operators on sequence spaces

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