Commutators of multilinear $\theta$-type generalized fractional integrals on non-homogeneous metric measure spaces

Source abstract

<abstract><p>Let ${\mathcal{I}_{\alpha, m}}$ be the multilinear $\theta$-type generalized fractional integrals and $\vec{b}_{\sigma}$ be the vector with each $b_{\sigma_{i}} \in \widetilde{{\rm{RBMO}}}\left(\mu\right)$. The boundedness for ${\mathcal{I}_{\alpha, m}}$ and the iterated multi-commutators ${\mathcal{I}_{\alpha, m, \vec{b}_\sigma}}$ on Lebesgue spaces over non-homogeneous spaces are showed in this paper.</p></abstract>