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

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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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     title = {The tensor {BMO-property} of the~sequence of partial sums of a~multiple {Fourier} series},
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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/