带粗糙核的多线性分数次极大算子的加权估计

Sharp weighted bounds for multilinear fractional maximal type operators with rough kernels

本文给出了带粗糙核的多线性分数次极大算子M_(Ω,α)的加权估计,获得了M_(Ω,α)的一种混合A_(P,q)-A_∞型估计和A_p型估计.作为应用,得到了带粗糙核的多线性分数次积分算子L_(Ω,α)的几乎最优估计.

In this paper,we give the weighted bounds for multilinear fractional maximal type operators MΩ,α,with rough homogeneous kernels.We obtain a mixed A（P,q））-A∞ bound and an A_p type estimate for M_（Ω,α）.As an application,we give an almost sharp estimate for the multilinear fractional integral operator with rough kernels LΩ,α.