Summability of multilinear forms on classical sequence spaces

DOI10.2989/16073606.2017.1315345OpenAlexW2964332349MaRDI QIDQ5236111

Tony Nogueira, Pilar Rueda

Publication date: 15 October 2019

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

Full work available at URL: https://arxiv.org/abs/1604.01610

zbMATH Keywords

summabilitymultilinear formsBohnenblust-Hille InequalityHardy-Little-wood inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Multilinear and polynomial operators (47H60)

Related Items (2)

A new estimate for the constants of an inequality due to Hardy and Littlewood ⋮ A note on the Hardy-Littlewood inequalities for multilinear forms

Cites Work

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• An index of summability for pairs of Banach spaces
• Optimal Hardy-Littlewood type inequalities for \(m\)-linear forms on \(\ell_{p}\) spaces with \({1\leq p\leq m}\)
• Summation of coefficients of polynomials on \(\ell_{p}\) spaces
• On bounded multilinear forms on a class of \(l^ p \)spaces
• On the structure of tensor products of \(\ell_ p\)-spaces
• Complex interpolation and summability properties of multilinear operators
• Sharp generalizations of the multilinear Bohnenblust-Hille inequality

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