向量值算子在加权Herz-Morrey空间上的有界性

Boundedness of Vector-valued Operators on the Weighted Herz-Morrey Spaces

研究了向量值Hardy-Littlewood算子在加权Herz-Morrey空间及加权弱Herz-Morrey空间上的有界性,应用这些结果,得到了一大类定义在Rn上的次线性算子向量值不等式.

In this paper, we investigate the boundedness of vector-valued Hardy-littlewood operator on the weighted Herz-Morrey space and weak weighted Herz-Morrey space. Moreover, as an application of our resule, we obtain a wide class of vector-valued ineaualities of sublinear operators defined on R^n.