Geodesic
The tensor BMO-property of the sequence of partial sums of a multiple Fourier series
Sbornik. Mathematics, Tome 80 (1995) no. 1, pp. 211-224 
V. A. Rodin. The tensor BMO-property of the sequence of partial sums of a multiple Fourier series. Sbornik. Mathematics, Tome 80 (1995) no. 1, pp. 211-224. http://geodesic.mathdoc.fr/item/SM_1995_80_1_a10/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A general assertion, relating the phenomenon of rectangular oscillation of the sequence of rectangular partial sums of a multiple Fourier series and the strong summability of that series, is established. For the sequence of rectangular partial sums of a multiple Fourier series an analog is obtained of the BMO-property of multiple Fourier series, related to the tensor product of these spaces.

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