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

页码：907 / 921

页数：15

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