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Eurasian Mathematical Journal, 2017, Volume 8, Number 2, Pages 22–30 (Mi emj253)  
This article is cited in 3 scientific papers (total in 3 papers)

On a weighted Sobolev space on real line

D. V. Prokhorovab

a 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
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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.
Funding agency Grant number
Russian Science Foundation 14-11-00443
The research work was financially supported by the Russian Science Foundation under grant 14-11-00443 and performed in the Steklov Mathematical Institute of the Russian Academy of Sciences.
Received: 06.12.2016
Bibliographic databases:
Document Type: Article
MSC: 46E35
Language: English
Citation: D. V. Prokhorov, “On a weighted Sobolev space on real line”, Eurasian Math. J., 8:2 (2017), 22–30
Citation in format AMSBIB
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\paper On a weighted Sobolev space on real line
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\vol 8
\issue 2
\pages 22--30
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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