Almost everywhere convergence of (C,α)-means of cubical partial sums of d-dimensional Walsh–Fourier series

In the paper we prove that the maximal operator of the (C,α)-means of cubical partial sums of d-dimensional Walsh–Fourier series is of weak type (1,1). Moreover, the (C,α)-means of the function f∈L1 converge a.e. to f as n→∞.