Littlewood–Paley characterization and duality of weighted anisotropic product Hardy spaces

The authors study anisotropic product Hardy spaces Hwp(A→) associated with a pair A→:=(A1,A2) of expansive dilations and a class of product Muckenhoupt weights A∞(A→) on Rn×RmRn×Rm. This article is a continuation of their earlier work in Bownik et al. (2010) [8]. The authors establish the Littlewood–Paley g-function characterization and the φ  -transform characterization of Hwp(A→), 0