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Research Articles

A note on the operator norm of the Laplace transformation

Pages 711-714 | Received 12 Aug 2021, Accepted 04 Jan 2022, Published online: 14 Feb 2022

References

  • Hardy GH. The constants of certain inequalities. J London Math Soc. 1933;8:114–119.
  • Beckner W. Inequalities in Fourier analysis. Ann Math. 1975;102(2):159–182.
  • Setterqvist E. Unitary equivalence – a new approach to the Laplace transform and the Hardy operator [master's thesis]. Lulea: Lulea University of Technology; 2005.
  • Brascamp HJ, Lieb EH. Best constants in Young's inequality, its converse, and its generalization to more than three functions. Adv Math. 1976;20:151–173.
  • Peachey TC. A sharp version of Bonsall's inequality. Bull Aust Math Soc. 2015;92:397–404.
  • Hardy GH, Littlewood JE, Pólya G. Inequalities. 2nd ed. Cambridge: Cambridge University Press; 1952.

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