New hardy spaces associated with some anisotropic Herz spaces and their applications

Abstract

In this paper, a class of anisotropic Herz-type Hardy spaces associated with a non-isotropic dilation on ℝn are introduced, and the central atomic and molecular decomposition characterizations of those spaces are established. As some applications of the decomposition theory, the authors study the interpolation problem and the boundedness of the central δ-Calderon-Zygmund operators on the anisotropic Herz-type Hardy spaces.