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arXiv · 1410.7205

Strong convergence of two-dimensional Walsh-Fourier series

George Tephnadze
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Abstract

We prove that certain mean of the quadratical partial sums of the two-dimensional Walsh-Fourier series are uniformly bounded operators from the Hardy space $H_{p}$ to the space $L_{p}$ for $0<p<1.$

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George Tephnadze. 2014-10-05. Strong convergence of two-dimensional Walsh-Fourier series. https://arxiv.org/abs/1410.7205

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