Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (1): 34-45.

Previous Articles     Next Articles

Variable Homogeneous Besov and Triebel-Lizorkin Spaces on Stratified Groups

Fang Jingxuan, Zhao Jiman   

  1. 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)

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

CLC Number: 

  • O174.2
Trendmd