Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators
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Publication:273088
DOI10.1007/s11856-015-1264-7zbMath1342.26040arXiv1311.3177OpenAlexW2162215154MaRDI QIDQ273088
Frederic Bayart, Nacib Gurgel Albuquerque, Juan B. Seoane-Sepúlveda, Daniel M. Pellegrino
Publication date: 21 April 2016
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.3177
Inequalities for sums, series and integrals (26D15) Inequalities involving other types of functions (26D07)
Related Items (29)
The Hardy-Littlewood Inequalities in Sequence Spaces ⋮ Equivalent norms in polynomial spaces and applications ⋮ Anisotropic regularity principle in sequence spaces and applications ⋮ Optimal Hardy–Littlewood inequalities uniformly bounded by a universal constant ⋮ On the constants of the Bohnenblust-Hille and Hardy-Littlewood inequalities ⋮ Optimal exponents for Hardy-Littlewood inequalities for \(m\)-linear operators ⋮ Asymptotic estimates for unimodular multilinear forms with small norms on sequence spaces ⋮ Optimal constants for a mixed Littlewood type inequality ⋮ Quantitative and qualitative estimates on the norm of products of polynomials ⋮ Lipschitz \(p\)-summing multilinear operators ⋮ 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 ⋮ Upper bounds for the constants of Bennett's inequality and the Gale–Berlekamp switching game ⋮ On summability of nonlinear operators ⋮ Duality theory for generalized summing linear operators ⋮ Optimal estimates for summing multilinear operators ⋮ The Orlicz inequality for multilinear forms ⋮ Multiple summing maps: coordinatewise summability, inclusion theorems and \(p\)-Sidon sets ⋮ Universal bounds for the Hardy-Littlewood inequalities on multilinear forms ⋮ Two-sided polynomial ideals on Banach spaces ⋮ On summability of multilinear operators and applications ⋮ On the polynomial Hardy-Littlewood inequality ⋮ Constants of the Kahane-Salem-Zygmund inequality asymptotically bounded by 1 ⋮ The best constants in the multiple Khintchine inequality ⋮ Remarks on an inequality of Hardy and Littlewood ⋮ A complete study of the geometry of 2-homogeneous polynomials on circle sectors ⋮ Lower bounds for the complex polynomial Hardy-Littlewood inequality ⋮ Optimal constants of the mixed Littlewood inequalities: the complex case
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