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JOURNALS // Eurasian Mathematical Journal // Archive
Eurasian Math. J., 2016 Volume 7, Number 2, Pages 19–37 (Mi emj221)
This article is cited 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

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.

MSC: 46E35

Received: 25.03.2016

Language: English



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