Herz type Besov and Triebel-Lizorkin spaces with variable exponent

被引：22
|
作者：
Shi, Chune [1 ]
Xu, Jingshi [1 ]
机构：
[1] Hainan Normal Univ, Dept Math, Haikou 571158, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2013年 / 8卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Variable exponent; Herz space; Besov space; Triebel-Lizorkin space; equivalent norm; maximal function; BESSEL POTENTIAL SPACES; MAXIMAL-FUNCTION; SUBLINEAR-OPERATORS; 2-MICROLOCAL BESOV; SOBOLEV SPACES; DECOMPOSITION; BOUNDEDNESS; LEBESGUE; INEQUALITIES; SMOOTHNESS;
D O I：
10.1007/s11464-012-0248-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Herz type Besov and Triebel-Lizorkin spaces with variable exponent are introduced. Then characterizations of these new spaces by maximal functions are given.
引用
收藏
页码：907 / 921
页数：15
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