带可变核的多线性分数次积分算子在弱Hardy空间上的有界性

Boundedness of Multilinear Fractional Integral Operators with Variable Kernels on Weak Type Hardy Spaces

考虑带可变核的多线性分数次积分算子在弱Hardy空间上的有界性,以及相应的多线性分数次极大算子的有界性,利用多线性分数次积分算子转化为相应的分数次积分,得到了TΩ,α,A和MΩ,α,A的弱型估计.

The boundedness is studied for a class of multilinear fractional integral operators with variable kernels and the maximal operator.It is proved that these operators are both bounded on weak type Hardy spaces.A simple way is explored which is closely linked with a class of fractional integral operators.