Applications of Herz-type Triebel-Lizorkin spaces

被引:23
|
作者
Xu, JS
Yang, DC
机构
[1] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China
[2] Hunan Univ, Dept Math, Changsha 410082, Peoples R China
关键词
Herz-type space; Triebel-Lizorkin space; pointwise multiplier; pseudo-differential operator; maximal operator;
D O I
10.1016/S0252-9602(17)30339-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, the authors first establish the connections between the Herz-type Triebel-Lizorkin spaces and the well-known Herz-type spaces; the authors then study the pointwise multipliers for the Herz-type Triebel-Lizorkin spaces and show that pseudo-differential operators axe bounded on these spaces by using pointwise multipliers.
引用
收藏
页码:328 / 338
页数:11
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