摘要
首先定义了加权Herz型Hardy空间上的分子并证明了其分子刻画。作为应用,给出了强奇异积分算子T_b在加权Herz和Hardy空间上有界性的证明。
The molecules for weighted Herz type Hardy spaces are defined, and their molecular characterization are proved. As an application, it is shown that the strongly singular integral operators are bounded in the weighted Herzwtype Hardy spaces.
关键词
权
分子刻画
加权HERZ型HARDY空间
强奇异积分算子
weightes
molecular character
weighted Herz-type Hardy spaces
strongly singular integral operators.