Far Eastern Mathematical Journal

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Theorems for the embedding of space Sobolev type

N. N. Frolov

2001, issue 2, P. 81–88

Abstract

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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References

[1] N. N. Frolov, “Teoremy vlozheniya dlya funkcij schetnogo chisla peremennyx i ix prilozheniya k zadache Dirixle”, DAN SSSR, 203:1 (1972), 39–42. [2] N. N. Frolov, “O mul'tiplikatorax sistemy Chebyshe?va-E'rmita”, Dal'nevostochnyj matematicheskij sbornik, 6, Dal'nauka, Vladivostok, 1998, 43–51. [3] Yu. M. Berezanskij, Yu. G. Kondrat'ev, Spektral'nye metody v beskonechnomernom analize, Naukova Dumka, Kiev, 1988.

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