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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 4, Pages 911–929 (Mi smj2135)  
This article is cited in 4 scientific papers (total in 4 papers)

Embedding Nikol'skiĭclasses into Lorentz spaces

B. V. Simonov

Volgograd State Technical University, Volgograd, Russia
Full-text PDF (375 kB) Citations (4)
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Abstract: We consider the embeddings of the Nikol'skiĭclasses of Lorentz spaces into Lorentz spaces. We obtain necessary and sufficient conditions for these embeddings under some restrictions on the fundamental functions of a Lorentz space.
Keywords: embedding of function classes, Nikol'skiĭclass, Lorentz space, continuity modulus, periodic function.
Received: 06.06.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 4, Pages 728–744
DOI: https://doi.org/10.1007/s11202-010-0074-8
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: B. V. Simonov, “Embedding Nikol'skiĭclasses into Lorentz spaces”, Sibirsk. Mat. Zh., 51:4 (2010), 911–929; Siberian Math. J., 51:4 (2010), 728–744
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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