Entropy numbers of embedding operators of function spaces on sets with tree-like structure

被引：1

作者：

Vasil'eva, Anastasia A. ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia

来源：

IZVESTIYA MATHEMATICS | 2017年 / 81卷 / 06期

基金：

俄罗斯科学基金会;

关键词：

entropy numbers; weighted Sobolev spaces; weighted summation operators; sets with tree-like structure; WEIGHTED SOBOLEV CLASSES; APPROXIMATION NUMBERS; MUCKENHOUPT WEIGHTS; EIGENVALUE DISTRIBUTIONS; COMPACTNESS PROPERTIES; SUMMATION OPERATORS; BESOV-SPACES; JOHN DOMAIN; WIDTHS; DISTANCE;

D O I：

10.1070/IM8555

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain order estimates for the entropy numbers of embedding operators of weighted Sobolev spaces on a John domain as well as of two-weight summation operators on trees. To do this, we prove a general result on upper bounds for the entropy numbers of embedding operators of function spaces on sets with tree-like structure.

引用

页码：1095 / 1142

页数：48

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