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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 5, Pages 1088–1101
DOI: https://doi.org/10.17377/smzh.2016.57.514 (Mi smj2809) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Composition operators in Orlicz–Sobolev spaces

A. V. Menovshchikovab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (332 kB) Citations (5)
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DOI: https://doi.org/10.17377/smzh.2016.57.514
Abstract: We obtain necessary and sufficient conditions for a homeomorphism of domains in a Euclidean space to generate a bounded embedding operator of the Orlicz–Sobolev spaces defined by a special class of $N$-functions.
Keywords: composition operator, Orlicz–Sobolev space, $N$-function.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.B25.31.0029
Russian Foundation for Basic Research 14-01-00552
The author was partially supported by the Government of the Russian Federation (Agreement 14.B25.31.0029) and the Russian Foundation for Basic Research (Grant 14-01-00552).
Received: 28.12.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 5, Pages 849–859
DOI: https://doi.org/10.1134/S0037446616050141
Bibliographic databases:
Document Type: Article
UDC: 517.518+517.54
Language: Russian
Citation: A. V. Menovshchikov, “Composition operators in Orlicz–Sobolev spaces”, Sibirsk. Mat. Zh., 57:5 (2016), 1088–1101; Siberian Math. J., 57:5 (2016), 849–859
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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