Geodesic
Theorems for the embedding of space Sobolev type
Dalʹnevostočnyj matematičeskij žurnal, Tome 2 (2001) no. 2, pp. 81-88.

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In this paper we consider different spaces of functions account number variable Sobolev type. Theorems of compactness embedding for this spaces is established. Bibliography 3 items. 
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N. N. Frolov. Theorems for the embedding of space Sobolev type. Dalʹnevostočnyj matematičeskij žurnal, Tome 2 (2001) no. 2, pp. 81-88. http://geodesic.mathdoc.fr/item/DVMG_2001_2_2_a7/

[1] N. N. Frolov, “Teoremy vlozheniya dlya funktsii schetnogo chisla peremennykh i ikh prilozheniya k zadache Dirikhle”, DAN SSSR, 203:1 (1972), 39–42 | Zbl

[2] N. N. Frolov, “O multiplikatorakh sistemy Chebyshëva-Ermita”, Dalnevostochnyi matematicheskii sbornik, 6, Dalnauka, Vladivostok, 1998, 43–51

[3] Yu. M. Berezanskii, Yu. G. Kondratev, Spektralnye metody v beskonechnomernom analize, Naukova Dumka, Kiev, 1988 | MR