Integral representation and embedding theorems for n-dimensional multianisotropic spaces with one anisotropic vertex

被引：3
|
作者：
Karapetyan, G. A. [1 ]
机构：
[1] Russian Armenian Univ, Yerevan, Armenia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2017年 / 58卷 / 03期
关键词：
embedding theorems; multianisotropic space; completely regular polyhedron; integral representation;
D O I：
10.1134/S0037446617030089
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove embedding theorems for the multianisotropic Sobolev spaces generated by the completely regular Newton polyhedron. Under study is the case of the polyhedron with one anisotropic vertex. We obtain a special integral representation of functions in terms of the tuple of multi-indices of the Newton polyhedron.
引用
收藏
页码：445 / 460
页数：16
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