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The Calderón-Zygmund decomposition and interpolation on weighted Hardy spaces

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Abstract

We apply discrete Littlewood-Paley-Stein theory, developed by Han and Lu, to establish Calderón-Zygmund decompositions and interpolation theorems on weighted Hardy spaces H p w for ω ∈ A ∞ in both the one-parameter and two-parameter cases.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, Beijing, 100875, P. R. China

    Zhuo Ping Ruan

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  1. Zhuo Ping Ruan
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Correspondence to Zhuo Ping Ruan.

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Ruan, Z.P. The Calderón-Zygmund decomposition and interpolation on weighted Hardy spaces. Acta. Math. Sin.-English Ser. 27, 1967–1978 (2011). https://doi.org/10.1007/s10114-011-9338-x

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  • DOI: https://doi.org/10.1007/s10114-011-9338-x

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