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Strong convergence theorem for Walsh-Kaczmarz-Fejér means

Published 17 Aug 2020 in math.CA and math.AP | (2008.07526v1)

Abstract: As main result we prove that Fej\'er 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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