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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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\paper Composition operators in Orlicz--Sobolev spaces
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\pages 1088--1101
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\transl
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\pages 849--859
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Linking options:
  • https://www.mathnet.ru/eng/smj2809
  • https://www.mathnet.ru/eng/smj/v57/i5/p1088
    • This publication is cited in the following 5 articles:
    1. A. Menovshchikov, A. Ukhlov, “Mappings Generating Embedding Operators in Orlicz-Sobolev Spaces”, J Math Sci, 276:1 (2023), 117  crossref
    2. Alexander Menovschikov, Alexander Ukhlov, “Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings”, J Math Sci, 258:3 (2021), 313  crossref
    3. Alexander Menovschikov, Alexander Ukhlov, “Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings”, UMB, 18:2 (2021), 209  crossref
    4. N. A. Evseev, A. V. Menovshchikov, “The Composition Operator on Mixed-Norm Lebesgue Spaces”, Math. Notes, 105:6 (2019), 812–817  mathnet  crossref  crossref  mathscinet  isi  elib
    5. A. V. Menovshchikov, “Regularity of the inverse of a homeomorphism of a Sobolev–Orlicz space”, Siberian Math. J., 58:4 (2017), 649–662  mathnet  crossref  crossref  isi  elib  elib
    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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