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Paley type inequality on the Hardy type space in the Dunkl setting

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Abstract

We investigate the Dunkl transform \({\mathcal{F}_k}\) on Hardy type space in the Dunkl setting and establish a version of Paley type inequality for this transform.

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Authors and Affiliations

  1. Higher College of Technology and Informatics, Street of the Employers 45, Charguia 2, 2035, Tunis, Tunisia

    Fethi Soltani

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  1. Fethi Soltani
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Correspondence to Fethi Soltani.

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This work was supported by the research unit 04/UR/15-02 “Analyse Mathématiques et Applications” (Faculty of Sciences of Tunis).

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Soltani, F. Paley type inequality on the Hardy type space in the Dunkl setting. Arch. Math. 95, 35–44 (2010). https://doi.org/10.1007/s00013-010-0143-z

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  • DOI: https://doi.org/10.1007/s00013-010-0143-z

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