Email this article Conditions for the Lp, λ-Boundedness of the Riesz Potential Generated by the Gegenbauer Differential Operator
- Authors: Guliev V.S.1,2, Ibragimov É.D.1
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Affiliations:
- Institute of Mathematics and Mechanics
- Nikol’skii Institute of Mathematics
- Issue: Vol 105, No 5-6 (2019)
- Pages: 674-683
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/151727
- DOI: https://doi.org/10.1134/S0001434619050043
- ID: 151727
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Abstract
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.
About the authors
V. S. Guliev
Institute of Mathematics and Mechanics; Nikol’skii Institute of Mathematics
Author for correspondence.
Email: vagif@guliyev.com
Azerbaijan, Baku, AZ-1141; Moscow, 117198
É. Dzh. Ibragimov
Institute of Mathematics and Mechanics
Author for correspondence.
Email: elmanibrahimov@yahoo.com
Azerbaijan, Baku, AZ-1141
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