Vanishing Carleson measures associated with families of multilinear operators (Q282834)

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scientific article; zbMATH DE number 6579907
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Vanishing Carleson measures associated with families of multilinear operators
scientific article; zbMATH DE number 6579907

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    Vanishing Carleson measures associated with families of multilinear operators (English)
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    12 May 2016
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    In this paper, the authors define a subclass of Carleson measures, the so-called vanishing Carleson measures. Then they characterize such measures by the compactness of a certain convolution operator. They also construct a vanishing Carleson measure from a family of multilinear operators and use this construction to prove the boundedness/compactness of some paraproduct operators.
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    vanishing Carleson measure
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    multilinear operator
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    paraproduct
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    compactness
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