Boundedness criteria for the fractional integral and fractional maximal operator on Morrey spaces generated by the Gegenbauer differential operator
In this paper, we establish necessary and sufficient conditions for the boundedness of the fractional integral on G‐Morrey space generated by Gegenbauer differential operator. A similar problem is studied for the fractional maximal operator.
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| Veröffentlicht in: | Mathematical methods in the applied sciences 2023-12, Vol.46 (18), p.18605-18632 |
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| container_issue | 18 |
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| container_title | Mathematical methods in the applied sciences |
| container_volume | 46 |
| creator | Ibrahimov, Elman J. Jafarova, Saadat Ar Bandaliyev, Rovshan A. |
| description | In this paper, we establish necessary and sufficient conditions for the boundedness of the fractional integral on G‐Morrey space generated by Gegenbauer differential operator. A similar problem is studied for the fractional maximal operator. |
| doi_str_mv | 10.1002/mma.9582 |
| format | Article |
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| ispartof | Mathematical methods in the applied sciences, 2023-12, Vol.46 (18), p.18605-18632 |
| issn | 0170-4214 1099-1476 |
| language | eng |
| recordid | cdi_proquest_journals_2892161212 |
| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Differential equations Fractional calculus Operators (mathematics) |
| title | Boundedness criteria for the fractional integral and fractional maximal operator on Morrey spaces generated by the Gegenbauer differential operator |
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