加权Herz型Hardy空间的分子刻画

The Molecular Characterization of Weighted Herz Type Hardy Spaces

中文关键词:  权  分子刻画  加权Herz型Hardy空间  强奇异积分算子.

英文关键词:weightes  molecular character  weighted Herz-type Hardy spaces  strongly singular integral operators.

中文摘要:

      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.

英文摘要:

      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 Herz-type Hardy spaces.