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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 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.

MSC: 32Q40

Received: 03.08.2016
Accepted: 21.10.2016

Language: English



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