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Weighted fractional and Hardy type operators in Orlicz–Morrey spaces

Volume 165 / 2021

Evgeniya Burtseva Colloquium Mathematicum 165 (2021), 253-268 MSC: Primary 46E30; Secondary 46B26. DOI: 10.4064/cm8129-6-2020 Published online: 18 January 2021

Abstract

We prove boundedness of the Riesz fractional integral operator between distinct Orlicz–Morrey spaces, which is a generalization of the Adams type result. Moreover, we investigate boundedness of some weighted Hardy type operators and weighted Riesz fractional integral operators between distinct Orlicz–Morrey spaces.

Authors

  • Evgeniya BurtsevaDepartment of Engineering Sciences and Mathematics
    Luleå University of Technology
    SE-971 87 Luleå, Sweden
    e-mail

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