On the maximal operators of Vilenkin-Fejéer means

Authors: GEORGE TEPHNADZE

Abstract: The main aim of this paper is to prove that the maximal operator \overset{\sim}{\sigma}^{\ast}f:=\underset{n \in P} \sup\frac{|\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

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