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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 1, Pages 63–74 (Mi smj1937)  
This article is cited in 2 scientific papers (total in 2 papers)

The Sobolev–Il'in theorem for the $B$-Riesz potential

V. S. Guliev, N. N. Garakhanova

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
Full-text PDF (295 kB) Citations (2)
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Abstract: We study the Riesz potentials that are generated by the generalized shift operator associated to the Laplace–Bessel operator. We obtain an analog of the Sobolev–Il'in theorem for the $B$-Riesz potential.
Keywords: generalized shift operator, $B$-Riesz potential, Sobolev–Il'in theorem.
Received: 04.11.2006
Revised: 31.10.2007
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 1, Pages 49–59
DOI: https://doi.org/10.1007/s11202-009-0006-7
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: V. S. Guliev, N. N. Garakhanova, “The Sobolev–Il'in theorem for the $B$-Riesz potential”, Sibirsk. Mat. Zh., 50:1 (2009), 63–74; Siberian Math. J., 50:1 (2009), 49–59
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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