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Eurasian Mathematical Journal, 2016, Volume 7, Number 2, Pages 19–37 (Mi emj221)  
This article is cited in 7 scientific papers (total in 7 papers)

Integral representation of functions and embedding theorems for multianisotropic spaces in the three-dimensional case

G. A. Karapetyan

Department of Mathematics and Mathematical Modelling, Russian-Armenian University, 123 Ovsep Emin St., 0051 Yerevan, Armenia
Full-text PDF (467 kB) Citations (7)
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Abstract: In this paper we obtain a special integral representation of functions with a set of multi-indices and use it to prove embedding theorems for multianisotropic spaces in three-dimensional case.
Keywords and phrases: integral representation, embedding theorem, multianisotropic spaces, completely regular polyhedron.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia SCS N:15T-1A197
This work was supported by the State Committee of Science (Ministry of Education and Science of the Republic of Armenia), project SCS N:15T-1A197.
Received: 25.03.2016
Bibliographic databases:
Document Type: Article
MSC: 46E35
Language: English
Citation: G. A. Karapetyan, “Integral representation of functions and embedding theorems for multianisotropic spaces in the three-dimensional case”, Eurasian Math. J., 7:2 (2016), 19–37
Citation in format AMSBIB
\Bibitem{Kar16}
\by G.~A.~Karapetyan
\paper Integral representation of functions and embedding theorems for multianisotropic spaces in the three-dimensional case
\jour Eurasian Math. J.
\yr 2016
\vol 7
\issue 2
\pages 19--37
\mathnet{http://mi.mathnet.ru/emj221}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391007300002}
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  • https://www.mathnet.ru/eng/emj221
  • https://www.mathnet.ru/eng/emj/v7/i2/p19
    • This publication is cited in the following 7 articles:
    1. 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
    2. G. A. Karapetyan, H. A. Petrosyan, “Correct solvability of the Dirichlet problem in the half-space for regular hypoelliptic equations”, J. Contemp. Math. Anal.-Armen. Aca., 54:4 (2019), 195–209  crossref  mathscinet  zmath  isi  scopus
    3. G. A. Karapetyan, M. A. Khachaturyan, “Limiting embedding theorems for multianisotropic functional spaces”, J. Contemp. Math. Anal.-Armen. Aca., 54:2 (2019), 103–111  crossref  mathscinet  zmath  isi  scopus
    4. G. A. Karapetyan, M. K. Arakelyan, “Embedding Theorems for General Multianisotropic Spaces”, Math. Notes, 104:3 (2018), 417–430  mathnet  crossref  crossref  mathscinet  isi  elib
    5. G. A. Karapetyan, H. A. Petrosyan, “On the solvability of regular hypoelliptic equations in Rn”, J. Contemp. Math. Anal.-Armen. Aca., 53:4 (2018), 187–200  crossref  mathscinet  zmath  isi  scopus
    6. G. A. Karapetyan, H. A. Petrosyan, “Embedding theorems for multianisotropic spaces with two vertices of anisotropicity”, Uch. zapiski EGU, ser. Fizika i Matematika, 51:1 (2017), 29–37  mathnet
    7. G. Karapetyan, M. Arakelian, “Estimation of multianisotropic kernels and their application to the embedding theorems”, Trans. A Razmadze Math. Inst., 171:1 (2017), 48–56  crossref  isi
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