On weak-star convergence in product Hardy spaces on spaces of homogeneous type
Tom 235 / 2016
Studia Mathematica 235 (2016), 251-267
MSC: Primary 42B30; Secondary 42B35, 30L99.
DOI: 10.4064/sm8574-8-2016
Opublikowany online: 24 November 2016
Streszczenie
A classical theorem of Jones and Journé 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).
