TY - JOUR
T1 - Multilinear Fractional Integrals and Commutators on Generalized Herz Spaces
JO - Analysis in Theory and Applications
VL - 2
SP - 103
EP - 121
PY - 2016
DA - 2016/04
SN - 32
DO - http://doi.org/10.4208/ata.2016.v32.n2.1
UR - https://global-sci.org/intro/article_detail/ata/4658.html
KW - Multilinear fractional integral, generalized Herz space, commutator, Muckenhoupt weight.
AB - <p style="text-align: justify;">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.</p>