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A Note on Vanishing Morrey → VMO Result for Fractional Integrals of Variable Order

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Abstract

In the limiting case of Sobolev-Adams theorem for Morrey spaces of variable order we prove that the fractional operator of variable order maps the corresponding vanishing Morrey space into VMO.

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Authors and Affiliations

  1. Department of Mathematical Sciences, College of Sciences, United Arab Emirates University, Al Ain, United Arab Emirates

    Humberto Rafeiro

  2. Department of Mathematics Faculdade de Ciências e Tecnologia, Universidade do Algarve, Faro, Portugal

    Stefan Samko

Authors
  1. Humberto Rafeiro
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  2. Stefan Samko
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Correspondence to Humberto Rafeiro.

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Rafeiro, H., Samko, S. A Note on Vanishing Morrey → VMO Result for Fractional Integrals of Variable Order. Fract Calc Appl Anal 23, 298–302 (2020). https://doi.org/10.1515/fca-2020-0013

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  • DOI: https://doi.org/10.1515/fca-2020-0013

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