The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents

In this article, the authors establish the characterizations of a class of anisotropic Herz-type Hardy spaces with two variable exponents associated with a non-isotropic dilation on in terms of molecular decompositions. Using the molecular decompositions, the authors obtain the boundedness of the central -Calderón-Zygmund operators on the anisotropic Herz-type Hardy space with two variable exponents.