Strong convergence theorem for Walsh-Kaczmarz-Fejér means

preprint2020arXivOpen access

As main result we prove that Fejér means of Walsh-Kaczmarz-Fourier series are uniformly bounded operators from the Hardy martingale space $\ H_{p}$ to the Hardy martingale space $H_{p}$ for $0<p\leq 1/2.$

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Strong convergence theorem for Walsh-Kaczmarz-Fejér means

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