Abstract. The main aim of this paper is to prove that the maximal operator $\widetilde{\sigma }^*f:=\sup_{n\in P}{| \sigma_{n}f| \over\log^2(n+1)}$ is bounded from the Hardy space $H_{1/2}$ to the space $L_{1/2}$.
AMS Subject Classification
(1991): 42C10
Keyword(s):
Walsh function,
Hardy space,
Fejér means
Received August 27, 2007. (Registered under 6036/2009.)
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