On weak-star convergence in product Hardy spaces on spaces of   homogeneous type
  A classical theorem of Jones and Journ\'e on weak-star convergence in the Hardy space $H^1$ was generalised 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 for this setting are from recent work in papers by Chen, Li and Ward and by Han, Li and Ward. 
Ming-Yi Lee, Ji Li and Lesley A. Ward
math.FA