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Matematicheskie Zametki, 2019, Volume 105, Issue 5, Pages 685–695
DOI: https://doi.org/10.4213/mzm11708 (Mi mzm11708) 		 
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
Full-text PDF (499 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11708
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.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 02.a03.21.0008
Азербайджано-Российский международный грантовый конкурс EIF-BGM-RFTF-1/2017-21/01/1
This work was supported by the First Azerbaijan–Russia International Grant Competition (grant no. EIF-BGM-RFTF-1/2017-21/01/1).
The work of V. S. Guliev was supported in part by the Ministry of Education and Science of the Russian Federation (grant no. 02.a03.21.0008).
Received: 30.05.2017
Revised: 24.07.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 5, Pages 674–683
DOI: https://doi.org/10.1134/S0001434619050043
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
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
Citation in format AMSBIB
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\pages 685--695
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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