<p>In this paper, we prove a two side estimates of the norm of some Hilbert-type operators on logarithmic Lebesgue spaces of the positive half-line. This extends some already known results for these operators for usual Lebesgue spaces.</p>

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Norm Estimates for Hilbert-Type Operators on Logarithmic Lebesgue Spaces of the Positive Half-Line

  • Jean-Marcel Tanoh Dje,
  • Benoit Florent Sehba,
  • Vincent Tetteh Teyekpiti

摘要

In this paper, we prove a two side estimates of the norm of some Hilbert-type operators on logarithmic Lebesgue spaces of the positive half-line. This extends some already known results for these operators for usual Lebesgue spaces.