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This article is cited in 4 scientific papers (total in 4 papers)
Conditions for the $L_{p,\lambda}$-Boundedness of the Riesz Potential Generated by the Gegenbauer Differential Operator
V. S. Gulievab, E. D. Ibragimova a Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
b Nikol'skii Mathematical Institute of Peoples’ Friendship University of Russia
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 $L_{p,\lambda}$ proved in an earlier paper of the second author.
Keywords:
Gegenbauer differential operator, Gegenbauer potential, generalized shift operator.
Received: 30.05.2017 Revised: 24.07.2018
Citation:
V. S. Guliev, E. D. Ibragimov, “Conditions for the $L_{p,\lambda}$-Boundedness of the Riesz Potential Generated by the Gegenbauer Differential Operator”, Mat. Zametki, 105:5 (2019), 685–695; Math. Notes, 105:5 (2019), 674–683
Linking options:
https://www.mathnet.ru/eng/mzm11708https://doi.org/10.4213/mzm11708 https://www.mathnet.ru/eng/mzm/v105/i5/p685
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Abstract page: | 318 | Full-text PDF : | 43 | References: | 44 | First page: | 20 |
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