Multipliers on weighted Hardy spaces over locally compact Vilenkin groups (Q2732372)
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scientific article; zbMATH DE number 1623624
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multipliers on weighted Hardy spaces over locally compact Vilenkin groups |
scientific article; zbMATH DE number 1623624 |
Statements
17 April 2002
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Vilenkin group
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Hardy space
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multiplier
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Littlewood-Paley function
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maximal function
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weight
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pseudodifferential operators
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0.9999998
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0.99604005
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0.9898714
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0.9597621
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0.9592155
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0.95892256
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Multipliers on weighted Hardy spaces over locally compact Vilenkin groups (English)
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The author establishes a multiplier theorem for weighted Hardy spaces over locally compact Vilenkin groups with the weights satisfying the reverse Hölder condition. The author also gives an application of this multiplier theorem to pseudodifferential operators. Moreover, on the aforementioned weighted Hardy spaces, the author obtains a new characterization of the Littlewood-Paley functions.
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