Maximal summability operators on the dyadic hardy spaces

Ushangi Goginava, Salem Ben Said

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

It is proved that the maximal operators of subsequences of Nörlund logarithmic means and Cesáro means with varying parameters of Walsh-Fourier series is bounded from the dyadic Hardy spaces Hp to Lp. This implies an almost everywhere convergence for the subsequences of the summability means.

Original languageEnglish
Pages (from-to)2189-2208
Number of pages20
JournalFilomat
Volume35
Issue number7
DOIs
Publication statusPublished - 2021

Keywords

  • Boundedness of maximal operators
  • Cesàro means
  • Hardy spaces
  • Logarithmic means
  • Walsh systems

ASJC Scopus subject areas

  • General Mathematics

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