Triebel-Lizorkin spaces with variable smoothness and integrability on Lie groups of polynomial growth

被引：0
|
作者：
Fang, Jingxuan [1 ]
Zhao, Jiman [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Inst Math & Math Educ, Key Lab Math & Complex Syst,Minist Educ, Beijing 100875, Peoples R China
来源：
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2018年 / 9卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Triebel-Lizorkin spaces; Variable exponent; Lie groups of polynomial growth; Molecular decomposition; BESOV-SPACES; SPECTRAL MULTIPLIERS; EXPONENT;
D O I：
10.1007/s11868-017-0222-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper wecharacterizeTriebel-Lizorkin spaces F-p(.),q(.)(alpha(.)) with variable smoothness and integrability on Lie groups of polynomial growth. We show that such spaces can be well defined under some conditions. By molecular decomposition we give the relationship between the spaces F-p(.),q(.)(alpha(.)) , and f(p(.),q(.))(alpha(.)) .
引用
收藏
页码：891 / 902
页数：12
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