EMBEDDING THEOREMS FOR MULTIANISOTROPIC SPACES WITH TWO VERTICES OF ANISOTROPICITY

G.A. Karapetyan; H.A. Petrosyan

doi:10.46991/PYSU:A/2017.51.1.029

EMBEDDING THEOREMS FOR MULTIANISOTROPIC SPACES WITH TWO VERTICES OF ANISOTROPICITY

Authors

G.A. Karapetyan Russian-Armenian University, Armenia
H.A. Petrosyan Russian-Armenian University, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2017.51.1.029

Keywords:

multianisotropic polynomial, multianisotropic Sobolev spaces, integral representation, embedding theorems

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.

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Published

2017-03-20

How to Cite

Karapetyan, G., & Petrosyan, H. (2017). EMBEDDING THEOREMS FOR MULTIANISOTROPIC SPACES WITH TWO VERTICES OF ANISOTROPICITY. Proceedings of the YSU A: Physical and Mathematical Sciences, 51(1 (242), 29–37. https://doi.org/10.46991/PYSU:A/2017.51.1.029