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Littlewood--Paley operators associated with the Dunkl operator on \(\mathbb R\). - MaRDI portal

Littlewood--Paley operators associated with the Dunkl operator on \(\mathbb R\). (Q1772696)

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scientific article; zbMATH DE number 2160159
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English
Littlewood--Paley operators associated with the Dunkl operator on \(\mathbb R\).
scientific article; zbMATH DE number 2160159

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    Littlewood--Paley operators associated with the Dunkl operator on \(\mathbb R\). (English)
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    21 April 2005
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    The author establishes a vector version of a multiplier theorem for the Dunkl transform on \(\mathbb{R}\) and deduces \(L^p\)-inequalities for the Littlewood-Paley \(g\)-function in this case.
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    Dunkl operator
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    \(L^p\)-multipliers
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    \(g\)-function
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