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It is proved that the maximal operators of the dyadic triangular-Fejér means of twodimensional Walsh-Fourier series is of weak type (1,1). Moreover, the dyadic triangular-Fejér means of the function f ∈ L1 converge almost everywhere to f as n → ∞ . Mathematics subject classification (2010): 42C10.

Almost everywhere convergence of dyadic triangular-Fejér means of two-dimensional Walsh-Fourier series