A wavelet characterization for the dual of weighted Hardy spaces

Abstract

We define the weighted Carleson measure space C M O w p CMO^p_w using wavelets, where the weight function w w belongs to the Muckenhoupt class. Then we show that C M O w p CMO^p_w is the dual space of the weighted Hardy space H w p H^p_w by using sequence spaces. As an application, we give a wavelet characterization of B M O w BMO_w .