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 Eurasian Math. J., 2016, Volume 7, Number 2, Pages 19–37 (Mi emj221)

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

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.

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MSC: 46E35
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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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000391007300002} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. 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
2. 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
3. G. A. Karapetyan, M. K. Arakelyan, “Embedding Theorems for General Multianisotropic Spaces”, Math. Notes, 104:3 (2018), 417–430
4. G. A. Karapetyan, H. A. Petrosyan, “On the solvability of regular hypoelliptic equations in $R^n$”, J. Contemp. Math. Anal.-Armen. Aca., 53:4 (2018), 187–200
5. 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
6. G. A. Karapetyan, M. A. Khachaturyan, “Limiting embedding theorems for multianisotropic functional spaces”, J. Contemp. Math. Anal.-Armen. Aca., 54:2 (2019), 103–111
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