Maximal operators of Fejér means of Vilenkin-Fourier series

István Blahota, Gát György, Ushangi Goginava

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


The main aim of this paper is to prove that the maximal operator σ* := sup |σn| of the Fejér means of the Vilenkin-Fourier series is not bounded from the Hardy space H1/2 n to the space L1/2.

Original languageEnglish
Article number149
JournalJournal of Inequalities in Pure and Applied Mathematics
Issue number4
Publication statusPublished - 2006
Externally publishedYes


  • Hardy space
  • Maximal operator
  • Vilenkin system

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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