In this paper we introduce and investigate a new restricted weighted maximal operator of Fejér means of Walsh-Fourier series and prove that the it is bounded from the martingale Hardy space H1/2(G) to the Lebesgue space L1/2(G). The sharpness of this result is also proved. As a consequence we obtain both some new and well-know results.
2020 Mathematics Subject Classification. 26015, 42C10, 42B30.
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