Geodesic
Embedding Theorems for General Multianisotropic Spaces
Matematičeskie zametki, Tome 104 (2018) no. 3, pp. 422-438

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An integral representation and embedding theorems for functions in multianisotropic Sobolev spaces are proved. Unlike in previous works, the general case where the characteristic Newton polyhedron in $\mathbb{R}^n$ has an arbitrary number of vertices is considered.
Keywords: embedding theorems, multianisotropic space, completely regular polyhedron, integral representation. 
@article{MZM_2018_104_3_a7,
     author = {G. A. Karapetyan and M. K. Arakelyan},
     title = {Embedding {Theorems} for {General} {Multianisotropic} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {422--438},
     publisher = {mathdoc},
     volume = {104},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_3_a7/}
}
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G. A. Karapetyan; M. K. Arakelyan. Embedding Theorems for General Multianisotropic Spaces. Matematičeskie zametki, Tome 104 (2018) no. 3, pp. 422-438. http://geodesic.mathdoc.fr/item/MZM_2018_104_3_a7/