An integral representation and embedding theorems in the plane for multianisotropic spaces

被引：1

作者：

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

机构：

[1] Russian Armenian Univ, Yerevan, Armenia

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2017年 / 52卷 / 06期

关键词：

Embedding theorem; multianisotropic space; completely regular polyhedron; integral representation;

D O I：

10.3103/S1068362317060024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present paper is a continuation of the author's paper [1], where by means of a special integral representation of functions we prove embedding theorems for multianisotropic functional spaces. In contrast to [1], here we consider the case where the corresponding completely regular polyhedron has many anisotropy vertices.

引用

页码：267 / 275

页数：9

共 50 条

[1] An integral representation and embedding theorems in the plane for multianisotropic spaces
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[J]. Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2017, 52 : 267 - 275
[2] Integral representations of functions and embedding theorems for multianisotropic spaces on the plane with one anisotropy vertex
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[J]. Journal of Contemporary Mathematical Analysis, 2016, 51 : 269 - 281
[3] INTEGRAL REPRESENTATION OF FUNCTIONS AND EMBEDDING THEOREMS FOR MULTIANISOTROPIC SPACES IN THE THREE-DIMENSIONAL CASE
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[J]. JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2016, 51 (06): : 269 - 281
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