Non-Regular 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, Sch 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, Peoples R China

来源：

JOURNAL OF MATHEMATICAL STUDY | 2024年 / 57卷 / 01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：

10.4208/jms.v57n1.24.05

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we obtain the boundedness of non-regular pseudo-differential operators with symbols in Besov spaces on matrix-weighted Besov-Triebel-Lizorkin spaces. These symbols include the classical H & ouml;rmander classes.

引用

页码：84 / 100

页数：17

共 38 条

[1]

Abels H., 2012, De Gruyter Graduate Lectures

[2]

[Anonymous], 2000, Mathematical Surveys and Monographs

[3]

[Anonymous], 1983, Monographs in Mathematics, DOI DOI 10.1007/978-3-0346-0416-1

[4]

[Anonymous], 1985, Ann. Global Anal. Geom, DOI DOI 10.1007/BF00054489

[5]

[Anonymous], 1988, Tsukuba J. Math.

[6]

Bai T, Characterizations of and Pseudo-differential operators on matrix weighted Besov-Triebel-Lizorkin spaces

[7]

Bu F, 2025, MATH ANN, V391, P6105, DOI 10.1007/s00208-024-03059-5

[8] Real-variable characterizations and their applications of matrix-weighted Besov spaces on spaces of homogeneous type [J].

Bu, Fan ;

Yang, Dachun ;

Yuan, Wen .

MATHEMATISCHE ZEITSCHRIFT, 2023, 305 (01)

[9] Function spaces of variable smoothness and integrability [J].

Diening, L. ;

Hasto, P. ;

Roudenko, S. .

JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 256 (06) :1731-1768

[10] On the boundedness of pseudo-differential operators on weighted Besov-Triebel spaces [J].

Dintelmann, P .

MATHEMATISCHE NACHRICHTEN, 1997, 183 :43-53

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