Boundedness criteria for the fractional integral and fractional maximal operator on Morrey spaces generated by the Gegenbauer differential operator

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
Hauptverfasser: Ibrahimov, Elman J., Jafarova, Saadat Ar, Bandaliyev, Rovshan A.
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Fractional calculus
Operators (mathematics)
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Zusammenfassung: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.9582