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Matematicheskie Trudy, 2019, Volume 22, Number 2, Pages 76–89
DOI: https://doi.org/10.33048/mattrudy.2019.22.205 (Mi mt358) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Fractional multianisotropic spaces and embedding theorems

G. A. Karapetyan

Russian-Armenian University, Yerevan, 0051 Armenia
Full-text PDF (225 kB) Citations (2)
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DOI: https://doi.org/10.33048/mattrudy.2019.22.205
Abstract: In the present article, we introduce multianisotropic function spaces with fractional derivatives. We also study multianisotropic Bessel potentials and prove embedding theorems for them.
Key words: fractional multianisotropic spaces, integral representation, embedding theorems, Bessel potentials.
Received: 07.02.2019
Revised: 07.02.2019
Accepted: 27.02.2019
English version:
Siberian Advances in Mathematics, 2020, Volume 30, Issue 4, Pages 275–283
DOI: https://doi.org/10.1134/S1055134420040021
Bibliographic databases:
Document Type: Article
UDC: 517.518.23
Language: Russian
Citation: G. A. Karapetyan, “Fractional multianisotropic spaces and embedding theorems”, Mat. Tr., 22:2 (2019), 76–89; Siberian Adv. Math., 30:4 (2020), 275–283
Citation in format AMSBIB
\Bibitem{Kar19}
\by G.~A.~Karapetyan
\paper Fractional multianisotropic spaces and embedding theorems
\jour Mat. Tr.
\yr 2019
\vol 22
\issue 2
\pages 76--89
\mathnet{http://mi.mathnet.ru/mt358}
\crossref{https://doi.org/10.33048/mattrudy.2019.22.205}
\transl
\jour Siberian Adv. Math.
\yr 2020
\vol 30
\issue 4
\pages 275--283
\crossref{https://doi.org/10.1134/S1055134420040021}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85095939074}
Linking options:
  • https://www.mathnet.ru/eng/mt358
  • https://www.mathnet.ru/eng/mt/v22/i2/p76
    • This publication is cited in the following 2 articles:
    1. A. N. Artyushin, “Function Spaces of Lp(⋅) (Lq(⋅))-Type and Embedding Theorems for Spaces with Variable Smoothness”, Sib Math J, 66:1 (2025), 1  crossref
    2. G. G. Kazaryan, A. N. Karapetyants, V. N. Margaryan, H. A. Mkrtchyan, A. G. Sergeev, “New classes of function spaces and singular operators”, Trans. Moscow Math. Soc., 82 (2021), 273–288  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
    Statistics & downloads:
    Abstract page:443
    Full-text PDF :189
    References:70
    First page:2
     
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