Geodesic
Integral representation of functions and embedding theorems for multianisotropic spaces in the three-dimensional case
Eurasian mathematical journal, Tome 7 (2016) no. 2, pp. 19-37

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In this paper we obtain a special integral representation of functions with a set of multi-indices and use it to prove embedding theorems for multianisotropic spaces in three-dimensional case. 
@article{EMJ_2016_7_2_a1,
     author = {G. A. Karapetyan},
     title = {Integral representation of functions and embedding theorems for multianisotropic spaces in the three-dimensional case},
     journal = {Eurasian mathematical journal},
     pages = {19--37},
     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/EMJ_2016_7_2_a1/}
}
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G. A. Karapetyan. Integral representation of functions and embedding theorems for multianisotropic spaces in the three-dimensional case. Eurasian mathematical journal, Tome 7 (2016) no. 2, pp. 19-37. http://geodesic.mathdoc.fr/item/EMJ_2016_7_2_a1/