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Estimates for multilinear fractional integral commutators on the weighted Morrey spaces. (Chinese. English summary) Zbl 1374.42038

Summary: Let \(m\in\mathbb{N}, \vec{b} =(b_1,\dots, b_m)\) whose components are locally integrable functions, \(I_{\alpha, m}^{\prod\vec{b}}\) and \(I_{\alpha, m}^{\Sigma\vec{b}}\) are multilinear commutators generated by multilinear fractional integral operator \(I_{\alpha, m}\) with function \(\vec{b}\). When \(\vec{b} \in \text{BMO}^m\), the boundedness of commutators \(I_{\alpha, m}^{\prod\vec{b}}\) and \(I_{\alpha, m}^{\Sigma\vec{b}}\) were established on the weighted Morrey spaces.

MSC:

42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
42B35 Function spaces arising in harmonic analysis
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