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  • 1 Tbilisi State University Institute of Mathematics, Faculty of Exact and Natural Sciences Chavchavadze Street 1 Tbilisi 0128 Georgia
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The main aim of this paper is to prove that the maximal operator σ*α of the (C, α) means of the cubical partial sums of the two-dimensional Walsh-Fourier series is bounded from the Hardy space H2/(2+α) to the space weak-L2/(2+α).