On the real polynomial Bohnenblust-Hille inequality

DOI10.1016/j.laa.2014.09.040zbMath1318.46029arXiv1209.4632OpenAlexW1986731601MaRDI QIDQ471954

Juan B. Seoane-Sepúlveda, Pablo Jiménez-Rodríguez, Gustavo A. Muñoz-Fernández, Jamilson Ramos Campos, Daniel M. Pellegrino

Publication date: 17 November 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.4632

zbMATH Keywords

real polynomialsBohnenblust-Hille inequality

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Multilinear and polynomial operators (47H60) Ideals of polynomials and of multilinear mappings in operator theory (47L22)

Related Items (16)

The Hardy-Littlewood Inequalities in Sequence Spaces ⋮ Equivalent norms in polynomial spaces and applications ⋮ The Bohnenblust-Hille inequality for polynomials whose monomials have a uniformly bounded number of variables ⋮ Quantitative and qualitative estimates on the norm of products of polynomials ⋮ On real-valued homogeneous polynomials with many variables ⋮ The Bohr radius of the \(n\)-dimensional polydisk is equivalent to \(\sqrt{(\log n) / n}\) ⋮ On the Fourier spectrum of functions on Boolean cubes ⋮ Bohnenblust-Hille inequalities: analytical and computational aspects ⋮ Polynomial and multilinear Hardy-Littlewood inequalities: analytical and numerical approaches ⋮ Optimal Hardy-Littlewood type inequalities for \(m\)-linear forms on \(\ell_{p}\) spaces with \({1\leq p\leq m}\) ⋮ Factorization of absolutely continuous polynomials ⋮ A note on the polynomial Bohnenblust-Hille inequality ⋮ Sharp values for the constants in the polynomial Bohnenblust-Hille inequality ⋮ On the polynomial Hardy-Littlewood inequality ⋮ Lower bounds for the constants in the real multipolynomial Bohnenblust-Hille inequality ⋮ Lower bounds for the complex polynomial Hardy-Littlewood inequality

Cites Work

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• The Bohr radius of the \(n\)-dimensional polydisk is equivalent to \(\sqrt{(\log n) / n}\)
• The asymptotic growth of the constants in the Bohnenblust-Hille inequality is optimal
• The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive
• New upper bounds for the constants in the Bohnenblust-Hille inequality
• Hardy spaces of Dirichlet series and their composition operators
• H. Bohr's vision of ordinary Dirichlet series; old and new results
• A note on the polynomial Bohnenblust-Hille inequality
• Some applications of hypercontractive inequalities in quantum information theory
• Bohr’s power series theorem in several variables
• Lower bounds for the constants in the Bohnenblust–Hille inequality: The case of real scalars

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