A WAVELET CHARACTERIZATION FOR THE DUAL OF WEIGHTED HARDY SPACES

作者:Lee Ming Yi*; Lin Chin Cheng; Lin Ying Chieh
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 137(12): 4219-4225.
DOI:10.1090/s0002-9939-09-10044-8

摘要

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