Geodesic
Approximation to the Sobolev classes $W_q^r$ of functions of several variables by bilinear forms in $L_p$ for $2\le q\le p\le\infty$
Matematičeskie zametki, Tome 62 (1997) no. 1, pp. 18-34.

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We study the approximation of functions of several variables by bilinear forms that are the pairwise products of functions of fewer variables. The order of approximation of Sobolev classes $W_q^r$ by bilinear forms in $L_p$ for $2 \le q \le p \le\infty$ is found. 
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M. Babayev. Approximation to the Sobolev classes $W_q^r$ of functions of several variables by bilinear forms in $L_p$ for $2\le q\le p\le\infty$. Matematičeskie zametki, Tome 62 (1997) no. 1, pp. 18-34. http://geodesic.mathdoc.fr/item/MZM_1997_62_1_a2/

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