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A wavelet characterization for weighted Hardy spaces.

Si Jue Wu — 1992

Revista Matemática Iberoamericana

In this article we give a wavelet area integral characterization for weighted Hardy spaces H(ω), 0 < p < ∞, with ω ∈ A. Our wavelet characterization establishes the identification between H(ω) and T (ω), the weighted discrete tent space, for 0 < p < ∞ and ω ∈ A. This allows us to use all the results of tent spaces for weighted Hardy spaces. In particular, we obtain the isomorphism between H(ω) and the dual space of H(ω), where 1< p < ∞ and...

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