Integral representations of functions and embedding theorems for multianisotropic spaces on the plane with one anisotropy vertex
- Authors: Karapetyan G.A.1
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Affiliations:
- Russian-Armenian (Slavonic) University
- Issue: Vol 51, No 6 (2016)
- Pages: 269-281
- Section: Functional Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/227972
- DOI: https://doi.org/10.3103/S1068362316060017
- ID: 227972
Cite item
Abstract
In this paper we obtain appropriate integral representations for functions from Sobolev multianisotropic spaces, and apply them to obtain embedding theorems for these spaces.
About the authors
G. A. Karapetyan
Russian-Armenian (Slavonic) University
Author for correspondence.
Email: Garnik_Karapetyan@yahoo.com
Armenia, Yerevan