Weak Triebel-Lizorkin Spaces with Variable Integrability, Summability and Smoothness

被引：3

作者：

Li, Wenchang ^{[1
]}

Xu, Jingshi ^{[1
]}

机构：

[1] Hainan Normal Univ, Dept Math, Haikou 571158, Hainan, Peoples R China

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2019年 / 55卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Variable exponent; weak Lebesgue space; Triebel-Lizorkin space; atom; molecule; maximal function; HERZ-TYPE BESOV; HARDY-SPACES; EXPONENT; OPERATORS; DECOMPOSITIONS; FUNCTIONALS;

D O I：

10.4171/PRIMS/55-2-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Weak Triebel-Lizorkin spaces with variable integrability, summability and smoothness are first introduced. Then we establish a vector estimate for weak Lebesgue spaces with variable exponent. As an application we give equivalent quasi-norms in these new spaces by means of Peetre's maximal functions. Finally, we obtain the boundedness of the phi transform on these new spaces and their atomic and molecular decompositions.

引用

页码：259 / 282

页数：24

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