多线性 Calderón-Zygmund 算子的交换子在广义 Morrey 空间上的紧性

Abstract

Abstract:

In this paper, the compactness of commutator $[\vec{b},T]$ generated by the $m$ -linear $\omega$ -type C-Z operator and generalized Campanato space function $\vec{b}$ with variable growth conditions on generalized Morrey space is studied. A sufficient condition for the compactness of commutator $[\vec{b},T ]$ is obtained on the generalized Morrey space.

Key words: Multilinear Calderón-Zygmund operator, Commutator, Campanato spaces, Generalized Morrey spaces, Compactness

CLC Number:

O174.2

Ku Fuli. Compact Commutators of $m$ -Linear Calderón-Zygmund Operators on Generalized Morrey Spaces[J].Acta mathematica scientia,Series A, 2024, 44(2): 286-297.

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References 28

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Compact Commutators of $m$ -Linear Calderón-Zygmund Operators on Generalized Morrey Spaces

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Compact Commutators of $m$ -Linear Calderón-Zygmund Operators on Generalized Morrey Spaces