Geodesic
On~imbedding theorems for symmetric spaces
Sbornik. Mathematics, Tome 11 (1970) no. 3, pp. 339-353

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In this report there are established embedding theorems for spaces of functions $u(x_1,\dots,x_n)$ whose generalized derivatives lie in a symmetric space $P(\Omega)$. There are found conditions for separability and reflexivity of the spaces $W^r_p(\Omega)$, and the question of the continuity and complete continuity of the embedding operator of $W^r_p(\Omega)$ into various spaces of functionals is studied. Under certain additional restrictions on the region $\Omega$ and the space $P$, there are proved embedding theorems for the spaces $W^r_p$. Bibliography: 19 titles. 
@article{SM_1970_11_3_a3,
     author = {V. S. Klimov},
     title = {On~imbedding theorems for symmetric spaces},
     journal = {Sbornik. Mathematics},
     pages = {339--353},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1970_11_3_a3/}
}
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V. S. Klimov. On~imbedding theorems for symmetric spaces. Sbornik. Mathematics, Tome 11 (1970) no. 3, pp. 339-353. http://geodesic.mathdoc.fr/item/SM_1970_11_3_a3/