In this paper, we give a wavelet area integral characterization for weighted Hardy spaces , with . Our wavelet characterization establishes the identification between and , the weighted discrete tent space, for and . This allows us to use all the results of tent spaces for weighted Hardy spaces. In particular, we obtain the isomorphism between and the dual space of where and , and the wavelet and the Carleson measure characterizations of BMO. Moreover, we obtain interpolation between -weighted Hardy spaces and .
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Sijue Wu, A wavelet characterization for weighted Hardy Spaces. Rev. Mat. Iberoam. 8 (1992), no. 3, pp. 329–349DOI 10.4171/RMI/127