Blei's inequality and coordinatewise multiple summing operators

DOI10.5565/PUBLMAT_57213_09zbMath1286.26017OpenAlexW2091172791MaRDI QIDQ2637442

Dumitru Popa, Gordon Sinnamon

Publication date: 11 February 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pm/1386857704

zbMATH Keywords

mixed-norm spaceBohnenblust-Hille inequalitymultiple summing operatorBlei's inequality

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Inequalities for sums, series and integrals (26D15) Multilinear and polynomial operators (47H60)

Related Items (9)

Mixed-norm estimates and symmetric geometric means ⋮ On the constants of the Bohnenblust-Hille and Hardy-Littlewood inequalities ⋮ On coincidence results for summing multilinear operators: interpolation, \(\ell_1\)-spaces and cotype ⋮ The Bohnenblust-Hille cycle of ideas from a modern point of view ⋮ Multiple summing maps: coordinatewise summability, inclusion theorems and \(p\)-Sidon sets ⋮ On the mixed (ℓ_1,ℓ_2)-Littlewood inequalities and interpolation ⋮ Absolutely summing multilinear operators via interpolation ⋮ The inclusion problem for mixed norm spaces ⋮ Multiple summability properties for Cohen ‐summing operators

Cites Work

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• Multiple summing operators on \(C(K)\) spaces
• NOTES ON INTERPOLATION OF MIXED NORM SPACES AND APPLICATIONS
• Multilinear extensions of Grothendieck's theorem

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