Stratified群上的变指标齐次Besov空间和Triebel-Lizorkin空间

数学物理学报 ›› 2018, Vol. 38 ›› Issue (1): 34-45.

Stratified群上的变指标齐次Besov空间和Triebel-Lizorkin空间

方敬轩, 赵纪满

北京师范大学数学科学学院, 数学与数学教育研究所, 数学与复杂系统教育部重点实验室北京 100875

收稿日期:2016-02-01 修回日期:2016-06-05 出版日期:2018-02-26 发布日期:2018-02-26
通讯作者: 赵纪满 E-mail:jzhao@bnu.edu.cn
基金资助:
国家自然科学基金（11471040）和中央高校基本科研基金（2014KJJCA10）

Variable Homogeneous Besov and Triebel-Lizorkin Spaces on Stratified Groups

Fang Jingxuan, Zhao Jiman

Laboratory of Mathematics and Complex Systems, Ministry of Education, Institution of Mathematics and Mathematical Education, School of Mathematical Sciences, Beijing Normal University, Beijing 100875

Received:2016-02-01 Revised:2016-06-05 Online:2018-02-26 Published:2018-02-26
Supported by:
Supported by the NSFC (11471040) and the Fundamental Research Funds for the Central Universities (2014KJJCA10)

摘要/Abstract

摘要： 该文首先定义了Stratified群上的一个变指标的齐次Besov空间和Triebel-Lizorkin空间，然后给出了这两种类型的变指标空间上的等价范数.

关键词: 变指标Besov空间, 变指标Triebel-Lizorkin空间, Stratified群

Abstract: In this paper, we introduce the homogeneous Besov and Triebel-Lizorkin spaces with one variable exponent on Stratified groups. Then we show equivalent norms of these spaces.

Key words: Variable Besov spaces, Variable Triebel-Lizorkin spaces, Stratified groups

中图分类号:

O174.2

方敬轩, 赵纪满. Stratified群上的变指标齐次Besov空间和Triebel-Lizorkin空间[J]. 数学物理学报, 2018, 38(1): 34-45.

Fang Jingxuan, Zhao Jiman. Variable Homogeneous Besov and Triebel-Lizorkin Spaces on Stratified Groups[J]. Acta mathematica scientia,Series A, 2018, 38(1): 34-45.

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