Pseudo-Differential Operators on Matrix Weighted Besov-Triebel-Lizorkin Spaces

被引：3

作者：

Bai, Tengfei ^{[1
]}

Xu, Jingshi ^{[2
]}

机构：

[1] Hainan Normal Univ, Coll Math & Stat, Haikou 571158, Hainan, Peoples R China

[2] Guilin Univ Elect Technol, Guangxi Coll & Univ Key Lab Data Anal & Computat, Ctr Appl Math Guangxi, Sch Math & Comp Sci, Guilin 541004, Peoples R China

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2024年 / 50卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Pseudo-differential operator; Matrix weight; Besov space; Triebel-Lizorkin space; BOUNDEDNESS;

D O I：

10.1007/s41980-024-00869-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the matrix-weighted Triebel-Lizorkin spaces and Besov spaces by Peetre maximal function and approximation. Using these characterizations, we obtain the boundedness of pseudo-differential operators with symbol in Hormander's class on matrix weighted Besov and Triebel-Lizorkin spaces.

引用

页数：26

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