单边算子的多线性交换子在 Triebel-Lizorkin 空间上的加权有界性

数学物理学报 ›› 2024, Vol. 44 ›› Issue (1): 50-59.

单边算子的多线性交换子在 Triebel-Lizorkin 空间上的加权有界性

程鑫^1,²(),张婧^1,^*()

1.伊犁师范大学数学与统计学院新疆伊宁 835000
2.安康学院数学与统计学院陕西安康 725000

收稿日期:2023-06-22 修回日期:2023-09-28 出版日期:2024-02-26 发布日期:2024-01-10
通讯作者: 张婧, E-mail:zjmath66@126.com
作者简介:程鑫, E-mail:cx2901257097@163.com
基金资助:
国家自然科学基金(12361019);新疆维吾尔自治区自然科学基金(2021D01C463);伊犁师范大学"学实高层次人才岗位"项目(YSXSJS22001)

The Boundedness for Multilinear Commutators of One-Sided Operators on Triebel-Lizorkin Spaces

Cheng Xin^1,²(),Zhang Jing^1,^*()

1. School of Mathematics and Statistics, Yili Normal University, Xinjiang Yining 835000
2. School of Mathematical and Statistics, Ankang University, Shanxi Ankang 725000

Received:2023-06-22 Revised:2023-09-28 Online:2024-02-26 Published:2024-01-10
Supported by:
Natianal Natural Science Foundation of China(12361019);National Science Foundation of Xinjiang Province(2021D01C463);YiLi Normal University's "High-level Talents" Program of Academic Integrity(YSXSJS22001)

摘要/Abstract

摘要：

该文在单边意义下采用权的外推法研究了 Calderón-Zygmund 奇异积分算子,离散面积函数, Weyl 分数次积分与 Lipschitz 函数生成的多线性交换子从加权 Lebesgue 空间到加权 Triebel-Lizorkin 空间上的有界性.

关键词: 多线性交换子, 单边算子, 单边权, 单边 Triebel-Lizorkin 空间

Abstract:

In this paper, we study the boundedness of multilinear commutators generated by singular integral operators, discrete square function, Weyl fractional integrals with Lipschitz functions from weighted Lebesgue to weighted Triebel-Lizorkin spaces by extrapolation of weights in the sense of one-side.

Key words: Multilinear commutators, One-sided operators, One-sided weights, One-sided Triebel-Lizorkin spaces

中图分类号:

O174.2

程鑫, 张婧. 单边算子的多线性交换子在 Triebel-Lizorkin 空间上的加权有界性[J]. 数学物理学报, 2024, 44(1): 50-59.

Cheng Xin, Zhang Jing. The Boundedness for Multilinear Commutators of One-Sided Operators on Triebel-Lizorkin Spaces[J]. Acta mathematica scientia,Series A, 2024, 44(1): 50-59.

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