In this paper, we introduce the Carleson measure space CMOp on product spaces of homogeneous type in the sense of Coifman and Weiss , and prove that it is the dual space of the product Hardy space H p of two homogeneous spaces defined in . Our results thus extend the duality theory of Chang and R. Fefferman [2, 3] on H1(ℝ2 + × ℝ2 +) with BMO(ℝ2 + × ℝ2 +) which was established using bi-Hilbert transform. Our method is to use discrete Littlewood-Paley analysis in product spaces recently developed in  and .
|Number of pages||41|
|Journal||Annali della Scuola Normale - Classe di Scienze|
|Publication status||Published - 2010|