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
相关论文
共 50 条
  • [21] On the tree-like structure of rings in dense solutions
    Michieletto, D.
    SOFT MATTER, 2016, 12 (47) : 9485 - 9500
  • [22] Tree-like topological structure of reconfigurable robots
    Zheng, Haojun
    Li, Tiemin
    Wang, Liping
    Qinghua Daxue Xuebao/Journal of Tsinghua University, 2002, 42 (11): : 1480 - 1483
  • [23] TREE-LIKE STRUCTURE OF BLOCK-CODES
    JONES, DM
    BUSSGANG, JJ
    IRE TRANSACTIONS ON INFORMATION THEORY, 1962, 8 (06): : 384 - &
  • [24] ENTROPY NUMBERS AND APPROXIMATION NUMBERS IN FUNCTION-SPACES
    EDMUNDS, DE
    TRIEBEL, H
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1989, 58 : 137 - 152
  • [25] Entropy numbers of diagonal operators on Orlicz sequence spaces
    Kaewtem, Thanatkrit
    Netrusov, Yuri
    MATHEMATISCHE NACHRICHTEN, 2021, 294 (07) : 1350 - 1373
  • [26] Tree-Like Structure Graphs with Full Diversity of Balls
    Evdokimov A.A.
    Fedoryaeva T.I.
    Journal of Applied and Industrial Mathematics, 2018, 12 (1) : 19 - 27
  • [27] Entropy numbers in function spaces with mixed integrability
    Triebel, Hans
    REVISTA MATEMATICA COMPLUTENSE, 2011, 24 (01): : 169 - 188
  • [28] Entropy numbers in function spaces with mixed integrability
    Hans Triebel
    Revista Matemática Complutense, 2011, 24 : 169 - 188
  • [29] An Efficient Storage Model of Tree-Like Structure in MongoDB
    Yao, Jiaqi
    PROCEEDINGS OF 2016 12TH INTERNATIONAL CONFERENCE ON SEMANTICS, KNOWLEDGE AND GRIDS (SKG), 2016, : 166 - 169
  • [30] Entropy numbers in sequence spaces with an application to weighted function spaces
    Kuehn, Thomas
    JOURNAL OF APPROXIMATION THEORY, 2008, 153 (01) : 40 - 52
12345