Equivalent Quasi-Norms of Besov-Triebel-Lizorkin-Type Spaces via Derivatives

被引：6
|
作者：
Wu, Suqing [1 ,2 ]
Yang, Dachun [1 ,2 ]
Yuan, Wen [1 ,2 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Minist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China
来源：
RESULTS IN MATHEMATICS | 2017年 / 72卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Besov space; Triebel-Lizorkin space; Morrey space; Peetre maximal function; Fourier multiplier; Lifting operator; DECOMPOSITIONS;
D O I：
10.1007/s00025-017-0684-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, applying the Peetre maximal function characterizations and the boundedness of Fourier multipliers on Besov-type and Triebel-Lizorkin-type spaces, as well as Besov-Morrey and Triebel-Lizorkin-Morrey spaces, the authors present some equivalent quasi-norms of these spaces in terms of derivatives.
引用
收藏
页码：813 / 841
页数：29
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