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Weighted adams type theorem for the riesz fractional integral in generalized morrey space

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Abstract

We prove the boundedness of the Riesz fractional integration operator from a generalized Morrey space Lp, φ to a certain Orlicz-Morrey space Lϕ, φ which covers the Adams result for Morrey spaces. We also give a generalization to the case of weighted Riesz fractional integration operators for some class of weights.

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Authors and Affiliations

  1. Luleå University of Technology, SE 971 87, Luleå, Sweden

    Burtseva Evgeniya & Natasha Samko

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  1. Burtseva Evgeniya
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  2. Natasha Samko
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Correspondence to Burtseva Evgeniya.

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Evgeniya, B., Samko, N. Weighted adams type theorem for the riesz fractional integral in generalized morrey space. FCAA 19, 954–972 (2016). https://doi.org/10.1515/fca-2016-0052

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