Grand Lebesgue sequence spaces

Humberto Rafeiro, Stefan Samko, Salaudin Umarkhadzhiev

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

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
Volume25
Issue number2
DOIs
Publication statusPublished - Jun 1 2018
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

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