MOLECULAR DECOMPOSITION OF WEIGHTED ANISOTROPIC HARDY SPACES

Abstract

In this paper, the weighted anisotropic Hardy spaces associated with the general discrete group dilations, the weighted anisotropic atoms and molecules are introduced. Then the molecular decomposition of the weighted anisotropic Hardy spaces is obtained. As an application, the boundedness of Calderón-Zygmund operators on the weighted anisotropic Hardy spaces is discussed.