Abstract
In this paper, we study the structure of the Hardy space \({H^p_b}\) associated with a para-accretive function b, which was introduced in Han et al. (J. Geom. Anal. 14:291–318, 2004). The main result is to establish a new atomic decomposition of \({H^p_b}\) . As applications, we obtain criterions for the boundedness of operators on \({H^p_b}\) and a characterization of the dual space of \({H^p_b}\) . The classification of \({H^p_b}\) and Calderon–Zygmund decomposition are also discussed.
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