Abstract
To study the boundedness of the Cauchy integrals over Lipschitz curves, new Hardy spaces [Formula: see text] were introduced in [Y. Han, M.-Y. Lee and C.-C. Lin, Hardy spaces and the Tb theorem, J. Geom. Anal.14 (2004) 291–318], where b is a para-accretive function. In this paper, we define the Carleson measure spaces [Formula: see text] that generalize BMO, and show that [Formula: see text] is the dual space of [Formula: see text]. As an application, we give a Carleson measure characterization of BMOb.
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