Summability of the coefficients of a multilinear form

DOI10.4171/JEMS/1109zbMath1487.46045OpenAlexW3185814577MaRDI QIDQ2119385

Frederic Bayart

Publication date: 29 March 2022

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jems/1109

zbMATH Keywords

multilinear mappingscombinatorial dimensionrandom polynomialsmultiple summing operators

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Multilinear and polynomial operators (47H60)

Related Items (5)

The Hardy-Littlewood Inequalities in Sequence Spaces ⋮ Complex Bohnenblust-Hille inequality whose monomials have indices in an arbitrary set ⋮ Strongly \((p,\sigma)\)-Lipschitz operators ⋮ Intermediate classes of nuclear multilinear operators ⋮ Coefficients of multilinear forms on sequence spaces

Cites Work

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• The Bohr radius of the \(n\)-dimensional polydisk is equivalent to \(\sqrt{(\log n) / n}\)
• Optimal Hardy-Littlewood type inequalities for \(m\)-linear forms on \(\ell_{p}\) spaces with \({1\leq p\leq m}\)
• Multiple summing maps: coordinatewise summability, inclusion theorems and \(p\)-Sidon sets
• Summation of coefficients of polynomials on \(\ell_{p}\) spaces
• Combinatorial dimension and random sets
• Coordinatewise multiple summing operators in Banach spaces
• On bounded multilinear forms on a class of \(l^ p \)spaces
• On the structure of tensor products of \(\ell_ p\)-spaces
• On summability of multilinear operators and applications
• Asymptotic estimates on the von Neumann inequality for homogeneous polynomials
• On an inequality of von Neumann and an application of the metric theory of tensor products to operators theory. (Appendix by S. Kaijser and N. Th. Varopoulos.)
• Multiple summing operators on \(C(K)\) spaces
• On coincidence results for summing multilinear operators: interpolation, \(\ell_1\)-spaces and cotype
• MAXIMUM MODULUS OF RANDOM POLYNOMIALS
• Combinatorial Dimension and Certain Norms in Harmonic Analysis
• BILINEAR FORMS BOUNDED IN SPACE [p, q]
• The sup‐norm vs. the norm of the coefficients: equivalence constants for homogeneous polynomials
• Operators with the Maurey–Pietsch multiple splitting property

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