Characterizations of Morrey type Besov and Triebel-Lizorkin spaces with variable exponents

被引：33
作者：
Fu, Jingjing [1 ]
Xu, Jingshi [1 ]
机构：
[1] Hainan Normal Univ, Dept Math, Haikou 571158, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 381卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Variable exponent; Morrey space; Besov space; Triebel-Lizorkin space; Equivalent norm; Maximal function; Atom; Molecule; Wavelet; MAXIMAL-FUNCTION; 2-MICROLOCAL BESOV; NAVIER-STOKES; DECOMPOSITION; SMOOTHNESS; EQUATIONS;
D O I：
10.1016/j.jmaa.2011.02.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, Morrey type Besov and Triebel-Lizorkin spaces with variable exponents are introduced. Then equivalent quasi-norms of these new spaces in terms of Peetre's maximal functions are obtained. Finally, applying those equivalent quasi-norms, the authors obtain the atomic, molecular and wavelet decompositions of these new spaces. (C) 2011 Elsevier Inc. All rights reserved.
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页码：280 / 298
页数：19
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