In this paper, a class of anisotropic Herz-type Hardy spaces associated with a non-isotropic dilation on ℝ<SUP> n </SUP>are introduced, and the central atomic and molecular decomposition characte...In this paper, a class of anisotropic Herz-type Hardy spaces associated with a non-isotropic dilation on ℝ<SUP> n </SUP>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-Calderón-Zygmund operators on the anisotropic Herz-type Hardy spaces.展开更多
基金NSF of China (Grant Nos.10571014 and 10571015)SRFDP of China (Grant No.20050027025)
文摘In this paper, a class of anisotropic Herz-type Hardy spaces associated with a non-isotropic dilation on ℝ<SUP> n </SUP>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-Calderón-Zygmund operators on the anisotropic Herz-type Hardy spaces.
