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Strong convergence of two-dimensional Walsh-Fourier series (1410.7205v1)
Published 5 Oct 2014 in math.CA and math.FA
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 $0<p<1.$