Optimal Hardy-Littlewood type inequalities for \(m\)-linear forms on \(\ell_{p}\) spaces with \({1\leq p\leq m}\)

DOI10.1007/s00013-015-0799-5zbMath1432.32003arXiv1502.01522OpenAlexW162135771MaRDI QIDQ501162

Gustavo S. Araújo, Daniel M. Pellegrino

Publication date: 9 October 2015

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.01522

zbMATH Keywords

Hardy-Littlewood inequalityabsolutely summing operatorsBohnenblust-Hille inequality

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Multilinear and polynomial operators (47H60)

Related Items

Summability of the coefficients of a multilinear form, An index of summability for pairs of Banach spaces, A new estimate for the constants of an inequality due to Hardy and Littlewood, Some applications of the Hölder inequality for mixed sums, Summing multilinear operators by blocks: the isotropic and anisotropic cases, Coefficients of multilinear forms on sequence spaces, A Gale-Berlekamp permutation-switching problem in higher dimensions, A note on multiple summing operators and applications, Two-sided polynomial ideals on Banach spaces, Summability of multilinear forms on classical sequence spaces, Remarks on an inequality of Hardy and Littlewood

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