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arXiv · 1504.05975

Strong convergence theorem of Ces\`aro means with respect to the Walsh system

István Blahota·George Tephnadze·Rodolfo Toledo
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Abstract

We prove that Ces\`{a}ro means of one-dimensional Walsh-Fourier series are uniformly bounded operators in the martingale Hardy space $H_{p}$ for $% 0<p<1/\left( 1+\alpha \right).$

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István Blahota, George Tephnadze, Rodolfo Toledo. 2015-04-21. Strong convergence theorem of Ces\`aro means with respect to the Walsh system. https://arxiv.org/abs/1504.05975

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