Conditions for the Lp, λ-Boundedness of the Riesz Potential Generated by the Gegenbauer Differential Operator

Conditions for the Lp, λ-Boundedness of the Riesz Potential Generated by the Gegenbauer Differential Operator

The results obtained in this paper refine and supplement a Hardy-Littlewood-Sobolev type theorem on the boundedness of the Riesz potential generated by the Gegenbauer differential operator on the spaces L p , λ proved in an earlier paper of the second author.

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Veröffentlicht in:Mathematical Notes 2019-05, Vol.105 (5-6), p.674-683
Hauptverfasser: Guliev, V. S., Ibragimov, É. Dzh
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:The results obtained in this paper refine and supplement a Hardy-Littlewood-Sobolev type theorem on the boundedness of the Riesz potential generated by the Gegenbauer differential operator on the spaces L p , λ proved in an earlier paper of the second author.
ISSN:0001-4346
1573-8876
DOI:10.1134/S0001434619050043