Carleson measures on a homogeneous tree (Q441994)

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scientific article; zbMATH DE number 6064312
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Carleson measures on a homogeneous tree
scientific article; zbMATH DE number 6064312

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    Carleson measures on a homogeneous tree (English)
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    8 August 2012
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    The authors give several equivalent characterizations of Carleson measures in the context of homogeneous trees. The proof is based on majorizing the Poisson integral by the Hardy-Littlewood maximal operator. The standard estimates for the Hardy-Littlewood maximal operator are shown directly using the special structure of the tree.
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    Carleson measures
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    trees
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    Hardy spaces
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    harmonic
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    Poisson kernel
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