Hardy 型算子的交换子在中心 Morrey 空间上的弱有界性刻画

Abstract

Abstract:

We provide some characterizations of the boundedness for commutators of $n$-dimensional Hardy-type operators $H_b$ and $H^*_b$ from the central Morrey space $\dot{M}^{p,\lambda}(\mathbb{R}^n)$ to the weak central Morrey space $W\dot{M}^{p,\lambda}(\mathbb{R}^n)$, which extends the corresponding results on Lebesgue spaces.

Key words: $n$-dimensional Hardy-type operator, commutator, weak central Morrey space, weak central bounded mean oscillation space

CLC Number:

O174.2

Ji Lei, Wei Mingquan, Yan Dunyan. Characterizations of the Weak Boundedness for Commutators of Hardy-Type Operators on Central Morrey Spaces[J].Acta mathematica scientia,Series A, 2025, 45(4): 1013-1022.

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References 29

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Characterizations of the Weak Boundedness for Commutators of Hardy-Type Operators on Central Morrey Spaces

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