Embedding Theorems for General Multianisotropic Spaces

被引：2

作者：

Karapetyan, G. A. ^{[1
]}

Arakelyan, M. K. ^{[1
]}

机构：

[1] Russian Armenian Univ, Yerevan 0051, Armenia

来源：

MATHEMATICAL NOTES | 2018年 / 104卷 / 3-4期

关键词：

embedding theorems; multianisotropic space; completely regular polyhedron; integral representation; INTEGRAL-REPRESENTATION; PLANE;

D O I：

10.1134/S0001434618090092

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 a"e (n) has an arbitrary number of vertices is considered.

引用

页码：417 / 430

页数：14

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