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Absolutely convergent q-Dunkl integrals and classical function spaces

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Abstract

In this paper, we give necessary and sufficient conditions in terms of \({\mathcal {F}}^D_{q, \alpha }(f)\), the q-Dunkl transform of f, to ensure that f belongs either to one of the generalized Lipschitz classes and Zygmund classes.

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Authors and Affiliations

  1. Department of Mathematics, Laboratory of Topology, Algebra, Geometry, and Discrete Mathematics, Faculty of Sciences Aïn Chock University Hassan II, Casablanca, Morocco

    Faouaz Saadi & Radouan Daher

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  1. Faouaz Saadi
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  2. Radouan Daher
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Correspondence to Faouaz Saadi.

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Saadi, F., Daher, R. Absolutely convergent q-Dunkl integrals and classical function spaces. Ramanujan J 60, 1107–1126 (2023). https://doi.org/10.1007/s11139-022-00605-0

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  • DOI: https://doi.org/10.1007/s11139-022-00605-0

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