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On the polynomial Hardy–Littlewood inequality

Abstract

We investigate the behavior of the constants of the polynomial Hardy–Littlewood inequality.

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Correspondence to D. Pellegrino.

Additional information

G. Araújo, D. Pellegrino and J. B. Seoane-Sepúlveda was supported by CNPq Grant 401735/2013-3 (PVE-Linha 2). G.A. Muñoz-Fernández was supported by MTM2012-34341.

D. Nunez and D. Serrano were supported by CNPq Grant 461797/2014-3.

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Araújo, G., Jiménez-Rodriguez, P., Muñoz-Fernández, G.A. et al. On the polynomial Hardy–Littlewood inequality. Arch. Math. 104, 259–270 (2015). https://doi.org/10.1007/s00013-015-0741-x

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Mathematics Subject Classification

  • 47H60
  • 47A63
  • 46G25

Keywords

  • Hardy–Littlewood inequality
  • Bohnenblust–Hille inequality
  • Absolutely summing operators