@Article{ATA-32-103, author = {}, title = {Multilinear Fractional Integrals and Commutators on Generalized Herz Spaces}, journal = {Analysis in Theory and Applications}, year = {2016}, volume = {32}, number = {2}, pages = {103--121}, abstract = {

Suppose $\vec{b}=(b_1,\cdots,b_m)\in (BMO)^m,$ $ I_{\alpha,m}^{{\Pi b}}$ is the iterated commutator of $\vec{b}$ and the $m$-linear multilinear fractional integral operator $I_{\alpha,m}$. The purpose of this paper is to discuss the boundedness properties of $I_{\alpha,m}$ and $I_{\alpha,m}^{{\Pi b}}$ on generalized Herz spaces with general Muckenhoupt weights.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2016.v32.n2.1}, url = {http://global-sci.org/intro/article_detail/ata/4658.html} }