1410.6186Oct 5, 2014Vilenkin system, Fejér means, martingale Hardy space

Fejér means of Vilenkin-Fourier series

George Tephnadze

Classical Analysis and ODEs Functional Analysis

Abstract

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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