Grand Lebesgue sequence spaces

Humberto Rafeiro, Stefan Samko, Salaudin Umarkhadzhiev

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


We introduce grand Lebesgue sequence spaces and study various operators of harmonic analysis in these spaces, e.g., maximal, convolution, Hardy, Hilbert, and fractional operators, among others. Special attention is paid to fractional calculus, including the density of the discrete version of a Lizorkin sequence test space in vanishing grand spaces.

Original languageEnglish
Pages (from-to)291-302
Number of pages12
JournalGeorgian Mathematical Journal
Issue number2
Publication statusPublished - Jun 1 2018
Externally publishedYes


  • Grand Lebesgue sequence space
  • Hardy operator
  • Hilbert transform
  • convolution operator
  • fractional operator
  • maximal operator

ASJC Scopus subject areas

  • General Mathematics


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