This article is cited in 3 papers

On a weighted Sobolev space on real line

D. V. Prokhorov<sup>ab

a</sup> Computing Center of Far Eastern Branch of Russian Academy of Sciences, 65 Kim Yu Chena St, 680000 Khabarovsk, Russia
^b Steklov Mathematical Institute, Russian Academy of Sciences, 8 Gubkina St, 119991 Moscow, Russia

Abstract: A criterion of density of smooth functions in a weighted Sobolev space on real line is obtained. In one partial case an alternative description of the space associated with the weighted Sobolev space are given.

Keywords and phrases: Sobolev space, density of smooth functions.

MSC: 46E35

Received: 06.12.2016

Language: English

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