On some new weighted maximal operators of Fejér means of Walsh-Fourier series
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Abstract
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 H 1/2 ( G ) to the Lebesgue space L 1/2 ( 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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