Duality of multiparameter Hardy spaces H-p on spaces of homogeneous type

作者：Han, Yongsheng^*; Li, Ji; Lu, Guozhen

来源：Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, 2010, 9(4): 645-685.

In this paper, we introduce the Carleson measure space CMOp on product spaces of homogeneous type in the sense of Coifman and Weiss [4], and prove that it is the dual space of the product Hardy space H-p of two homogeneous spaces defined in [15]. Our results thus extend the duality theory of Chang and R. Fefferman [2,3] on H-1 (R- (2) x R- (2)) with BMO(R- (2) x R- (2)) which was established using bi-Hilbert transform. Our method is to use discrete Littlewood-Paley analysis in product spaces recently developed in [13] and [14].

• 出版日期2010
• 单位中山大学