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arXiv · 1409.4971

On the convergence of Fej\'er means of Walsh-Fourier series in the space $H_{p}$

George Tephnadze
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Abstract

The main aim of this paper is to find the necessary and sufficient conditions for a modulus of continuity of a martingale $F\in H_{p},$ for which Fej\'er means convergence in $H_{p}$-norm, when $0<p\leq 1/2.$

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George Tephnadze. 2014-09-17. On the convergence of Fej\'er means of Walsh-Fourier series in the space $H_{p}$. https://arxiv.org/abs/1409.4971

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