Abstract. In this paper we prove that there exists a continuous function on $[0,1)^2$, with a certain smoothness, whose double Fourier--Walsh--Paley series diverges by rectangles on a set of positive measure.
AMS Subject Classification
double Fourier series,
received 9.6.2019, revised 8.1.2020, accepted 14.1.2020. (Registered under 69/2019.)