The sup‐norm vs. the norm of the coefficients: equivalence constants for homogeneous polynomials

DOI10.1002/MANA.201800404OpenAlexW2995915876WikidataQ126591618 ScholiaQ126591618MaRDI QIDQ5109383

Daniel Galicer, Santiago Muro, Martín Mansilla

Publication date: 11 May 2020

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.01735

zbMATH Keywords

unimodular polynomialsHardy-Littlewood inequalitiesmultivariable von Neumann's inequalityunconditionality in spaces of polynomials

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Polynomials in number theory (11C08) (Spaces of) multilinear mappings, polynomials (46G25) Multilinear algebra, tensor calculus (15A69) Multilinear and polynomial operators (47H60)

Related Items (8)

Summability of the coefficients of a multilinear form ⋮ An index of summability for pairs of Banach spaces ⋮ Equivalent norms in polynomial spaces and applications ⋮ On coincidence results for summing multilinear operators: interpolation, \(\ell_1\)-spaces and cotype ⋮ Interpolation of Hardy spaces of Dirichlet series ⋮ Coefficients of multilinear forms on sequence spaces ⋮ Monomial convergence on \(\ell_r\) ⋮ Mixed Bohr radius in several variables

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