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Continuous Characterization of the Besov Spaces of Variable Smoothness and Integrability

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Ukrainian Mathematical Journal Aims and scope

We obtain new equivalent quasinorms of the Besov spaces of variable smoothness and integrability. Our main tools are the continuous version of the Calderón reproducing formula, maximal inequalities, and the variable-exponent technique. However, allowing the parameters to vary from point to point leads to additional difficulties which, in general, can be overcome by imposing regularity assumptions on these exponents.

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Authors and Affiliations

  1. Laboratory of Functional Analysis and Geometry of Spaces, M’sila University, M’sila, Algeria

    S. Benmahmoud & D. Drihem

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  1. S. Benmahmoud
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  2. D. Drihem
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Correspondence to D. Drihem.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 12, pp. 1601–1624, December, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i12.6578.

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Benmahmoud, S., Drihem, D. Continuous Characterization of the Besov Spaces of Variable Smoothness and Integrability. Ukr Math J 74, 1826–1853 (2023). https://doi.org/10.1007/s11253-023-02173-y

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  • DOI: https://doi.org/10.1007/s11253-023-02173-y

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