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

Journal of Jilin University Science Edition ›› 2025, Vol. 63 ›› Issue (5): 1219-1224.

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

FANG Jing, TAO Shuangping

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2024-12-02 Online:2025-09-26 Published:2025-09-26

Abstract

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

CLC Number:

O174.2

FANG Jing, TAO Shuangping. Boundedness of Multilinear Strongly Singular Calderón-Zygmund Operators and Their Commutators on Product of Weighted Morrey Spaces over RD-Spaces[J].Journal of Jilin University Science Edition, 2025, 63(5): 1219-1224.

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

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