On weak-star convergence in product Hardy spaces on spaces of homogeneous type

摘要

A classical theorem of Jones and Journe on weak-star convergence in the Hardy space H-1 was generalized to the multiparameter setting by Pipher and Treil. We prove the analogous result when the underlying space is a product space of homogeneous type. The main tools we use are from recent work by Chen, Li and Ward (2013) and by Han, Li and Ward (2014).