Embedding Theorems for General Multianisotropic Spaces
- Authors: Karapetyan G.A.1, Arakelyan M.K.1
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Affiliations:
- Russian–Armenian University
- Issue: Vol 104, No 3-4 (2018)
- Pages: 417-430
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151343
- DOI: https://doi.org/10.1134/S0001434618090092
- ID: 151343
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Abstract
An integral representation and embedding theorems for functions in multianisotropic Sobolev spaces are proved. Unlike in previous works, the general case where the characteristic Newton polyhedron in ℝn has an arbitrary number of vertices is considered.
About the authors
G. A. Karapetyan
Russian–Armenian University
Author for correspondence.
Email: garnik_karapetyan@yahoo.com
Armenia, Yerevan, 0051
M. K. Arakelyan
Russian–Armenian University
Email: garnik_karapetyan@yahoo.com
Armenia, Yerevan, 0051
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