Fejér means of Vilenkin-Fourier series

preprint2014arXivOpen access

TThe main aim of this paper is to prove that there exist a martingale $f\in H_{1/2}$ such that Fejér means of Vilenkin-Fourier series of the martingale $f$ is not uniformly bounded in the space $L_{1/2}.$

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Fejér means of Vilenkin-Fourier series

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