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
收藏
页码：1095 / 1142
页数：48
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