Geodesic
An example of double Fourier–Haar series with a nonregular subseries
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 1, pp. 18-21

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We bring an example of integrable function on $[0;1]^2$, so that the double Fourier–Haar series has a subseries, whose majorant of partial sums does not belong to $L^{1,\infty}$.
Keywords: double Haar series, square function, $A$-integral.
Mots-clés : majorant 
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K. A. Kerian. An example of double Fourier–Haar series with a nonregular subseries. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 1, pp. 18-21. http://geodesic.mathdoc.fr/item/UZERU_2017_51_1_a3/