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Matematicheskie Zametki, 2018, Volume 103, Issue 3, Pages 336–345
DOI: https://doi.org/10.4213/mzm11701 (Mi mzm11701) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains in Lebesgue Spaces

O. V. Besov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (499 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm11701
Abstract: An embedding theorem for spaces of functions of positive smoothness defined on irregular domains of $n$-dimensional Euclidean space in Lebesgue spaces is proved. The statement of the theorem depends on the geometric parameters of the domains of the functions.
Keywords: embedding theorem, spaces of functions of positive smoothness, irregular domain, Lebesgue spaces.
Funding agency Grant number
Russian Science Foundation 14-11-00443
This work was supported by the Russian Science Foundation under grant 14-11-00443.
Received: 28.05.2017
Revised: 18.09.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 3, Pages 348–356
DOI: https://doi.org/10.1134/S0001434618030021
Bibliographic databases:
Document Type: Article
UDC: 517.518.23
Language: Russian
Citation: O. V. Besov, “Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains in Lebesgue Spaces”, Mat. Zametki, 103:3 (2018), 336–345; Math. Notes, 103:3 (2018), 348–356
Citation in format AMSBIB
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    Erratum
    This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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