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

Conditions for the L p, 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 Lp, λ proved in an earlier paper of the second author.

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Veröffentlicht in:Mathematical notes (Rossiĭskaia akademiia nauk) 2019-01, Vol.105 (5), p.674-683
Hauptverfasser: Guliev, V S, Ibragimov, É Dzh
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Mathematics
Operators (mathematics)
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Beschreibung
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 Lp, λ proved in an earlier paper of the second author.
ISSN:1067-9073
1573-8876
DOI:10.1134/S0001434619050043