Zhou, Jiang; Zhang, Chaonan; Li, Peng Estimates for multilinear fractional integral commutators on the weighted Morrey spaces. (Chinese. English summary) Zbl 1374.42038 J. Lanzhou Univ., Nat. Sci. 52, No. 5, 692-696 (2016). 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 Keywords:multilinear fractional integral; commutator; weighted Morrey space PDFBibTeX XMLCite \textit{J. Zhou} et al., J. Lanzhou Univ., Nat. Sci. 52, No. 5, 692--696 (2016; Zbl 1374.42038) Full Text: DOI