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 Proceedings of the YSU, Physics & Mathematics, 2017, Volume 51, Issue 1, Pages 29–37 (Mi uzeru327)

Mathematics

Embedding theorems for multianisotropic spaces with two vertices of anisotropicity

G. A. Karapetyan, H. A. Petrosyan

Russian-Armenian (Slavonic) State University, Yerevan

Abstract: We prove embedding theorems for multianisotropic spaces in the case when the Newton polyhedron has two vertices of anisotropicity. The case of one anisotropicity vertex of the polyhedron was studied in previous papers of one of the authors. The present paper is the continuation of those.

Keywords: multianisotropic polynomial, multianisotropic Sobolev spaces, integral representation, embedding theorems.

 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 SCS of MES of the RA, in the frame of project SCS 15T-1A197.

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Document Type: Article
MSC: 32Q40
Language: English

Citation: G. A. Karapetyan, H. A. Petrosyan, “Embedding theorems for multianisotropic spaces with two vertices of anisotropicity”, Proceedings of the YSU, Physics & Mathematics, 51:1 (2017), 29–37

Citation in format AMSBIB
\Bibitem{KarPet17} \by G.~A.~Karapetyan, H.~A.~Petrosyan \paper Embedding theorems for multianisotropic spaces with two vertices of anisotropicity \jour Proceedings of the YSU, Physics {\&} Mathematics \yr 2017 \vol 51 \issue 1 \pages 29--37 \mathnet{http://mi.mathnet.ru/uzeru327}