Non-smooth atomic decomposition of Triebel-Lizorkin-type spaces

被引：0

作者：

Sawano, Yoshihiro ^{[1
]}

Yang, Dachun ^{[2
]}

Yuan, Wen ^{[2
]}

机构：

[1] Chuo Univ, Dept Math, Tokyo 1128551, Japan

[2] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ China, Beijing 100875, Peoples R China

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2024年 / 18卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Triebel-Lizorkin-type space; BMO; Atomic decomposition; Local oscillation decomposition; MORREY SPACES; VARIABLE EXPONENTS;

D O I：

10.1007/s43037-023-00321-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, the authors establish a non-smooth atomic decomposition of Triebel-Lizorkin-type spaces and, as a by-product, a non-smooth atomic decomposition of subspaces of BMO spaces is obtained. An application of this decomposition method to the boundedness of Marcinkiewicz integral operators is also presented.

引用

页数：33

共 28 条

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Asami K., 2018, COMMENT MATH HELV, V58, P37

[2]

Asami K., 2017, Int. J. Appl. Math, V30, P547, DOI DOI 10.12732/IJAM.V30I6.7

[3] SOME MAXIMAL INEQUALITIES [J].