Geodesic
Conditions for the $L_{p,\lambda}$-Boundedness of the Riesz Potential Generated by the Gegenbauer Differential Operator
Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 685-695

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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 $L_{p,\lambda}$ proved in an earlier paper of the second author.
Keywords: Gegenbauer differential operator, Gegenbauer potential, generalized shift operator. 
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     author = {V. S. Guliev and E. D. Ibragimov},
     title = {Conditions for the $L_{p,\lambda}${-Boundedness} of the {Riesz} {Potential} {Generated} by the {Gegenbauer} {Differential} {Operator}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {685--695},
     publisher = {mathdoc},
     volume = {105},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a3/}
}
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V. S. Guliev; E. D. Ibragimov. Conditions for the $L_{p,\lambda}$-Boundedness of the Riesz Potential Generated by the Gegenbauer Differential Operator. Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 685-695. http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a3/