Besov spaces with variable smoothness and integrability on Lie groups of polynomial growth

被引：4

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 | 2019年 / 10卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Besov spaces; Variable exponent; Lie groups of polynomial growth; Embedding; SPECTRAL MULTIPLIERS;

D O I：

10.1007/s11868-018-0246-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Besov spaces with variable smoothness and integrability on Lie groups of polynomial growth. We prove that such function spaces are well defined in the sense that their definitions are independent of the choice of basis functions under some specific assumptions. Then we show some embeddings related to them.

引用

页码：581 / 599

页数：19

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