Inhomogeneous Besov and Triebel-Lizorkin spaces associated with a para-accretive function and their applications

被引：1

作者：

Liao, Fang-hui ^{[1
]}

Liu, Zong-guang ^{[2
]}

Zhang, Xiao-jin ^{[3
]}

机构：

[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China

[2] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China

[3] North China Inst Sci & Technol, Dept Basic Curriculum, Langfang 065201, Peoples R China

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2023年 / 38卷 / 04期

基金：

中国国家自然科学基金;

关键词：

para-accretive function; Calderon's reproducing formula; Besov space; Triebel-Lizorkin space; pointwise multiplier;

D O I：

10.1007/s11766-023-3499-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using inhomogeneous Calderon's reproducing formulas and the space of test functions associated with a para-accretive function, the inhomogeneous Besov and Triebel-Lizorkin spaces are established. As applications, pointwise multiplier theorems are also obtained.

引用

页码：493 / 509

页数：17

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