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Boundedness of the generalized Riesz potential in central Morrey–Orlicz spaces

Volume 179 / 2025

Evgeniya Burtseva, Lech Maligranda Colloquium Mathematicum 179 (2025), 171-187 MSC: Primary 46E30; Secondary 42B20, 42B35 DOI: 10.4064/cm9633-9-2025 Published online: 4 November 2025

Abstract

We investigate the boundedness of the generalized Riesz potential in central Morrey–Orlicz spaces. We also present necessary and sufficient conditions for the generalized Riesz potential to be finite under certain assumptions on the kernel.

Published in Open Access (under CC-BY license).

Authors

  • Evgeniya BurtsevaDepartment of Engineering Sciences
    and Mathematics
    Luleå University of Technology
    971 87 Luleå, Sweden
    e-mail
  • Lech MaligrandaInstitute of Mathematics
    Poznań University of Technology
    60-965 Poznań, Poland
    and
    Department of Engineering Sciences
    and Mathematics
    Luleå University of Technology
    971 87 Luleå, Sweden
    e-mail
    e-mail

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