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


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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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V. Guliev

Institute of Mathematics and Mechanics; Nikol’skii Institute of Mathematics

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Email: vagif@guliyev.com
阿塞拜疆, Baku, AZ-1141; Moscow, 117198

É. Ibragimov

Institute of Mathematics and Mechanics

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Email: elmanibrahimov@yahoo.com
阿塞拜疆, Baku, AZ-1141

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