• Title of article

    On the maximal operators of Vilenkin-Fejer means

  • Author/Authors

    TEPHNADZE, George Tbilisi State University - Faculty of Exact and Natural Sciences, Institute of Mathematics, Georgia

  • From page
    308
  • To page
    318
  • Abstract
    The main aim of this paper is to prove that the maximal operator overset{sim}{sigma}^{ast}f:=underset{n in P} supfrac{|sigma _nf|}{log^2 (n+1)} is bounded from the Hardy space H_{1/2} to the space L_{1/2}, where sigma _nf are Fejér means of bounded Vilenkin-Fourier series.
  • Keywords
    Vilenkin system , Fejéer means , martingale Hardy space
  • Journal title
    Turkish Journal of Mathematics
  • Journal title
    Turkish Journal of Mathematics
  • Record number

    2531338