Relations between product and flag Triebel-Lizorkin spaces

被引：1

作者：

Cao, Yannan ^{[1
]}

Chang, Der-Chen ^{[2
,3
]}

Wu, Xinfeng ^{[1
]}

机构：

[1] China Univ Min & Technol, Dept Math, Beijing, Peoples R China

[2] Georgetown Univ, Dept Math & Stat, Washington, DC USA

[3] Fu Jen Catholic Univ, Grad Inst Business Adm, Coll Management, Taipei, Taiwan

来源：

APPLICABLE ANALYSIS | 2024年 / 103卷 / 14期

关键词：

Flag kernels; product kernels; Triebel-Lizorkin spaces; CALDERON-ZYGMUND THEORY; SINGULAR-INTEGRALS; MARCINKIEWICZ MULTIPLIERS; HOMOGENEOUS GROUPS; KERNELS; BESOV; BOUNDEDNESS; OPERATORS;

D O I：

10.1080/00036811.2024.2302092

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nagel, Ricci and Stein proved that product kernels are finite sums of flag kernels in the Euclidean space. We show that the product Triebel-Lizorkin space is the intersection of two flag Triebel-Lizorkin spaces. This extends a main result in [Chang D-C, Han Y, Wu X. Relations between product and flag Hardy spaces. J Geom Anal. 2021;31(7):6601-6623]. As an application, we provide a new proof of the boundedness of product singular integral operators on product Triebel-Lizorkin spaces.

引用

页码：2516 / 2534

页数：19

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