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

页码：813 / 841

页数：29

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