Weighted local Hardy spaces on locally compact Vilenkin groups (Q2721787)

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scientific article; zbMATH DE number 1616525
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Weighted local Hardy spaces on locally compact Vilenkin groups
scientific article; zbMATH DE number 1616525

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    8 January 2002
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    local Hardy space
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    Vilenkin group
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    atom
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    Littlewood-Paley function
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    weight
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    singular integral
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    Weighted local Hardy spaces on locally compact Vilenkin groups (English)
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    On locally compact Vilenkin groups, the author introduces the weighted local Hardy spaces, and gives their characterizations in terms of atoms and Littlewood-Paley \(g\)-functions. The author also gives their dual spaces. Moreover, the author discusses the boundedness of some singular integral operators on these local Hardy spaces.
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