1. CJM Online first
|Weighted Carleson Measure Spaces Associated with Different Homogeneities|
In this paper, we introduce weighted Carleson measure spaces associated with different homogeneities and prove that these spaces are the dual spaces of weighted Hardy spaces studied in a forthcoming paper. As an application, we establish the boundedness of composition of two CalderÃ³n-Zygmund operators with different homogeneities on the weighted Carleson measure spaces; this, in particular, provides the weighted endpoint estimates for the operators studied by Phong-Stein.
Keywords:composition of operators, weighted Carleson measure spaces, duality