吉林大学学报(理学版) ›› 2025, Vol. 63 ›› Issue (5): 1219-1224.

• •    下一篇

RD-空间上多线性强奇异Calderón-Zygmund算子及交换子在加权乘积Morrey空间上的有界性

方静, 陶双平   

  1. 西北师范大学 数学与统计学院, 兰州 730070
  • 收稿日期:2024-12-02 出版日期:2025-09-26 发布日期:2025-09-26
  • 通讯作者: 陶双平 E-mail:taosp@nwnu.edu.cn

Boundedness of Multilinear Strongly Singular Calderón-Zygmund Operators and Their Commutators on Product of Weighted Morrey Spaces over RD-Spaces

FANG Jing, TAO Shuangping   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2024-12-02 Online:2025-09-26 Published:2025-09-26

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摘要： 利用Hardy-Littlewood极大算子的加权有界性和Sharp极大函数的点态估计等工具, 给出RD(reverse doubling)-空间上多线性强奇异Calderón-Zygmund算子及其与BMO(bounded mean oscillation)函数生成的多线性交换子在加权乘积Morrey空间上的有界性.

关键词: 多线性强奇异Calderón-Zygmund算子, 加权Morrey空间, RD-空间, 交换子

Abstract: By using tools such as weighted boundedness of the Hardy-Littlewood maximal operator and the pointwise estimates for the Sharp maximal function, we gave the boundedness of multilinear strongly singular Calderón-Zygmund operators and their multilinear commutators generated by BMO (bounded mean oscillation) functions on product of weighted Morrey spaces over RD(reverse doubling)-spaces.

Key words: multilinear strongly singular Calderón-Zygmund operator, weighted Morrey space, RD-space, commutator

中图分类号: 

  • O174.2
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