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Matematicheskie Zametki, 2018, Volume 104, Issue 3, Pages 422–438
DOI: https://doi.org/10.4213/mzm12115 (Mi mzm12115) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Embedding Theorems for General Multianisotropic Spaces

G. A. Karapetyan, M. K. Arakelyan

Russian-Armenian (Slavonic) State University, Yerevan
Full-text PDF (553 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm12115
Abstract: An integral representation and embedding theorems for functions in multianisotropic Sobolev spaces are proved. Unlike in previous works, the general case where the characteristic Newton polyhedron in $\mathbb{R}^n$ has an arbitrary number of vertices is considered.
Keywords: embedding theorems, multianisotropic space, completely regular polyhedron, integral representation.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 15T-1A197
This work was supported by the State Committee of Science (Ministry of Education and Science of the Republic of Armenia), project SCS no. 15T-1A197, and by the Thematic Foundation for the Russian–Armenian University of the Ministry of Education and Science of the Russian Federation.
Received: 28.09.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 3, Pages 417–430
DOI: https://doi.org/10.1134/S0001434618090092
Bibliographic databases:
Document Type: Article
UDC: 517.518.23
Language: Russian
Citation: G. A. Karapetyan, M. K. Arakelyan, “Embedding Theorems for General Multianisotropic Spaces”, Mat. Zametki, 104:3 (2018), 422–438; Math. Notes, 104:3 (2018), 417–430
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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