Integrability theorems for Fourier-Jacobi transforms (Q2914881)
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scientific article; zbMATH DE number 6084703
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integrability theorems for Fourier-Jacobi transforms |
scientific article; zbMATH DE number 6084703 |
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Integrability theorems for Fourier-Jacobi transforms (English)
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21 September 2012
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Chébli-Trimèche hypergroups
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generalized Fourier transform
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Jacobi hypergroup
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Jacobi function
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The Hardy-Littlewood-Paley inequality is proved for the generalized Fourier transform on Chébli-Trimèche hypergroups. First, the authors concentrate on key results concerning the harmonic analysis on Chébli-Trimèche hypergroups (cf. [\textit{W. R. Bloom} and \textit{H. Heyer}, Harmonic analysis of probability measures on hypergroups. Berlin: de Gruyter (1995; Zbl 0828.43005)]). The particular case of the Jacobi hypergroup the integrability of the generalized Fourier transform on Besov-type spaces is addressed.
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