A DISCRETE CHARACTERIZATION OF HERZ-TYPE TRIEBEL-LIZORKIN SPACES AND ITS APPLICATIONS

被引：0
作者：
徐景实
机构：
[1] Department of Mathematics
[2] Hunan University
[3] Changsha
[4] China Department of Mathematics
[5] Changsha University of Science and Technology
[6] China
来源：
Acta Mathematica Scientia | 2004年 / 03期
关键词：
Herz-type space; Triebel-Lizorkin space; discrete characterization; pseudo-differential operator; maximal operator;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
<正> In this paper, the author establishes a discrete characterization of the Herz-type Triebel-Lizorkin spaces which is used to prove the boundedness of pseudo-differential operators on these function spaces.
引用
收藏
页码：412 / 420
页数：9
相关论文
共 50 条
[31]   Atomic decompositions of Triebel-Lizorkin spaces with local weights and applications [J].
Liu, Liguang ;
Yang, Dachun .
CHINESE ANNALS OF MATHEMATICS SERIES B, 2014, 35 (02) :237-260
[32]   Embedding theorems of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type [J].
Yang, DC .
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2003, 46 (02) :187-199
[33]   Quarklet characterizations for Triebel-Lizorkin spaces [J].
Hovemann, Marc ;
Dahlke, Stephan .
JOURNAL OF APPROXIMATION THEORY, 2023, 295
[34]   Triebel-Lizorkin spaces with general weights [J].
Drihem, Douadi .
ADVANCES IN OPERATOR THEORY, 2023, 8 (01)
[35]   Embedding theorems of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type [J].
Dachun Yang .
Science in China Series A: Mathematics, 2003, 46 :187-199
[36]   Atomic decompositions of Triebel-Lizorkin spaces with local weights and applications [J].
Liguang Liu ;
Dachun Yang .
Chinese Annals of Mathematics, Series B, 2014, 35 :237-260
[37]   Embedding theorems of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type [J].
杨大春 .
Science China Mathematics, 2003, (02) :187-199
[38]   Real interpolations for Besov and Triebel-Lizorkin spaces on spaces of homogeneous type [J].
Yang, DC .
MATHEMATISCHE NACHRICHTEN, 2004, 273 :96-113
[39]   A Mean Characterization of Weighted Anisotropic Besov and Triebel-Lizorkin Spaces [J].
Li, Baode ;
Bownik, Marcin ;
Yang, Dachun ;
Yuan, Wen .
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2014, 33 (02) :125-147
[40]   Atomic Decompositions of Triebel-Lizorkin Spaces with Local Weights and Applications [J].
Liguang LIU ;
Dachun YANG .
Chinese Annals of Mathematics(Series B), 2014, 35 (02) :237-260
12345