CHARACTERIZATIONS OF VARIABLE TRIEBEL-LIZORKIN-TYPE SPACES VIA BALL AVERAGES

被引：0

作者：

Zhuo, Ciqiang ^{[1
]}

Chang, Der-Chen ^{[2
,3
]}

Yang, Dachun ^{[4
]}

Yuan, Wen ^{[4
]}

机构：

[1] Hunan Normal Univ, Coll Math & Comp Sci, Minist Educ China, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China

[2] Georgetown Univ, Dept Math & Stat, Washington, DC 20057 USA

[3] Fu Jen Catholic Univ, Dept Math, Taipei 242, Taiwan

[4] Beijing Normal Univ, Sch Math Sci, Minist Educ China, Lab Math & Complex Syst, Beijing 100875, Peoples R China

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2018年 / 19卷 / 01期

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

Triebel-Lizorkin space; variable exponent; ball average; Lusin-area function; g(lambda)*-function; BESOV-TYPE SPACES; HARDY-SPACES; SMOOTHNESS; EXPONENT; DECOMPOSITIONS; FUNCTIONALS; CAMPANATO; MORREY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, the authors mainly establish equivalent characterizations of the variable Triebel-Lizorkin-type space in terms of the Lusin-area function and the g(lambda)*-function generated by averages on balls. These results provide possible ways to introduce the corresponding function spaces on metric measure spaces.

引用

页码：19 / 40

页数：22

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