向量值次线性算子在Herz-Morrey空间上的加权有界性

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

研究了向量值次线性算子在Herz-Morrey空间及弱Herz-Morrey空间上的加权有界性,得到了一大类定义在Rn上的算子向量值不等式.

In this paper, the author establishes the strong and weak type norm inequalities for a vector-valued sublinear operators on the weighted Herz-Morrey spaces; using this, the author obtains the inequalities for a class of singular operators defined on R^n which include the Calderon-zygmundoperators as special cases.