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.
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页数：33
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