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 Lp, λ proved in an earlier paper of the second author. © 2019, Pleiades Publishing, Ltd.

Authors
Guliev V.S. 1, 2 , Ibragimov É.D.1
Journal
Mathematical Notes
Number of issue
5-6
Language
English
Pages
674-683
Status
Published
Link
External link
DOI
10.1134/S0001434619050043
Volume
105
Year
2019
Organizations
  • 1 Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Baku, AZ-1141, Azerbaijan
  • 2 Nikol’skii Institute of Mathematics, RUDN University, Moscow, 117198, Russian Federation
Keywords
Gegenbauer differential operator; Gegenbauer potential; generalized shift operator
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