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. 
@article{MZM_1997_62_1_a2,
     author = {M. Babayev},
     title = {Approximation to the {Sobolev} classes $W_q^r$ of functions of several variables by bilinear forms in $L_p$ for $2\le q\le p\le\infty$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {18--34},
     publisher = {mathdoc},
     volume = {62},
     number = {1},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_62_1_a2/}
}
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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/