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Keywords:
weighted Hardy space; weighted BMO space; multilinear Calderón-Zygmund operator; weak factorization
weighted Hardy space; weighted BMO space; multilinear Calderón-Zygmund operator; weak factorization
Summary:
We give a constructive proof of the factorization theorem for the weighted Hardy space in terms of multilinear Calderón-Zygmund operators. The result is also new even in the linear setting. As an application, we obtain the characterization of weighted BMO space via the weighted boundedness of commutators of the multilinear Calderón-Zygmund operators.
References:
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