高维 Hardy 算子及其交换子的双权不等式

数学物理学报 ›› 2024, Vol. 44 ›› Issue (3): 539-546.

高维 Hardy 算子及其交换子的双权不等式

王瑶瑶(),吕玫钏(),李文明^*()

河北师范大学数学科学学院石家庄 050024

收稿日期:2023-04-01 修回日期:2023-10-30 出版日期:2024-06-26 发布日期:2024-05-17
通讯作者: *李文明, Email：lwmingg@sina.com
作者简介:王瑶瑶, Email：767155064@qq.com;|吕玫钏, Email：2415521868@qq.com
基金资助:
河北省自然科学基金项目(A2021205013)

Two-Weight Inequalities for ${n}$ -dimentional Hardy Operator and Commutators

Wang Yaoyao(),Lv Meichuan(),Li Wenming^*()

School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024

Received:2023-04-01 Revised:2023-10-30 Online:2024-06-26 Published:2024-05-17
Supported by:
Natural Science Foundation of Hebei Province(A2021205013)

摘要/Abstract

摘要：

设 $P$ 为 $\mathbb{R}^n$ 上的Hardy 算子, $Q$ 为 $P$ 的对偶算子. 该文得出了 $P$ , $Q$ 以及与 $CMO$ 函数构成的交换子的双权不等式.

关键词: Hardy 算子, 交换子, $CMO$ , 双权不等式

Abstract:

Let $P$ be the Hardy operator on $\mathbb{R}^n$ and $Q$ be the adjoint operator. In this paper, we get the two-weight inequalities for $P$ , $Q$ and the commutators of $P$ and $Q$ with $CMO$ functions.

Key words: Hardy operator, Commutator, $CMO$ , Two-weight inequality

中图分类号:

O174.2

王瑶瑶, 吕玫钏, 李文明. 高维 Hardy 算子及其交换子的双权不等式[J]. 数学物理学报, 2024, 44(3): 539-546.

Wang Yaoyao, Lv Meichuan, Li Wenming. Two-Weight Inequalities for ${n}$ -dimentional Hardy Operator and Commutators[J]. Acta mathematica scientia,Series A, 2024, 44(3): 539-546.

参考文献 14

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