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Eurasian Mathematical Journal, 2021, Volume 12, Number 1, Pages 9–20
DOI: https://doi.org/10.32523/2077-9879-2021-12-1-09-20 (Mi emj388) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Comparison of Morrey spaces and Nikol'skii spaces

V. I. Burenkovab, V. S. Guliyevcd, T. V. Tararykovaba

a S.M. Nikol'skii Mathematical Institute, Peoples Friendship University of Russia (RUDN University), 6 Miklukho Maklay St, 117198 Moscow, Russian Federation
b Cardiff School of Mathematics, Cardiff University, Senghennydd Rd, Cardiff, CF4 24AG, UK
c Institute of Applied Mathematics, Baku State University, 23 B. Vaxabzade St, AZ1148, Baku, Republic of Azerbaijan
d Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, 9 B. Vaxabzade St, AZ1141, Baku, Republic of Azerbaijan
Full-text PDF (452 kB) Citations (5)
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DOI: https://doi.org/10.32523/2077-9879-2021-12-1-09-20
Abstract: We consider two popular function spaces: the Morrey spaces and the Nikol'skii spaces and investigate the relationship between them in the one-dimensional case. In particular, we prove that, under the appropriate assumptions on the numerical parameters, their restrictions to the class of functions f of the form $f(x) = g(|x|)$, where g is a non-negative non-increasing function on $[0,\infty)$, coincide.
Keywords and phrases: Morrey spaces, Nikol'skii spaces.
Funding agency Grant number
Russian Foundation for Basic Research 18-51-06005
Grant of the 1st Azerbaijan-Russia Joint Grant Competition EIF-BGM-4-RFTF-1/2017-21/01/1-M-08
The research of V.I. Burenkov and T.V. Tararykova was supported by the Russian Foundation for Basic Research (project no. 18-51-06005). The research of V.S. Guliyev was supported by the grant of the 1st Azerbaijan-Russia Joint Grant Competition (grant no. EIF-BGM-4-RFTF-1/2017-21/01/1-M-08).
Received: 01.03.2020
Bibliographic databases:
Document Type: Article
MSC: 42B35, 46B50
Language: English
Citation: V. I. Burenkov, V. S. Guliyev, T. V. Tararykova, “Comparison of Morrey spaces and Nikol'skii spaces”, Eurasian Math. J., 12:1 (2021), 9–20
Citation in format AMSBIB
\Bibitem{BurGulTar21}
\by V.~I.~Burenkov, V.~S.~Guliyev, T.~V.~Tararykova
\paper Comparison of Morrey spaces and Nikol'skii spaces
\jour Eurasian Math. J.
\yr 2021
\vol 12
\issue 1
\pages 9--20
\mathnet{http://mi.mathnet.ru/emj388}
\crossref{https://doi.org/10.32523/2077-9879-2021-12-1-09-20}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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