Geodesic
Application of Interpolational Methods to the Study of Properties of Functions of Several Variables
Matematičeskie zametki, Tome 75 (2004) no. 3, pp. 372-383.

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In this paper, interpolation theorems for spaces of functions of several variables are used to generalize and refine Hörmander's theorem on the multipliers of the Fourier transform from $L_p$ to $L_q$ and the Hardy–Littlewood–Paley inequality for a class of multiple Fourier series in the multidimensional case. 
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E. D. Nursultanov. Application of Interpolational Methods to the Study of Properties of Functions of Several Variables. Matematičeskie zametki, Tome 75 (2004) no. 3, pp. 372-383. http://geodesic.mathdoc.fr/item/MZM_2004_75_3_a4/

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