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Vladikavkazskii Matematicheskii Zhurnal, 2014, Volume 16, Number 2, Pages 62–68 (Mi vmj505)  

This article is cited in 6 scientific papers (total in 6 papers)

Boundedness of the Riesz potential operator in weighted grand Lebesgue spaces

S. M. Umarkhadzhiev

Chechen State University, Groznyi, Russia
Full-text PDF (236 kB) Citations (6)
References:
Abstract: We prove а theorem on the two-weighted boundedness of linear operators in generalized Grand Lebesgue spaces introduced in our previous papers. This theorem is applied to obtain two-weigt estimated for the Riesz potential operator in such spaces.
Key words: generalized grand Lebesgue space, Riesz potential operator, interpolation theorem.
Received: 29.06.2013
Document Type: Article
UDC: 517.968
Language: Russian
Citation: S. M. Umarkhadzhiev, “Boundedness of the Riesz potential operator in weighted grand Lebesgue spaces”, Vladikavkaz. Mat. Zh., 16:2 (2014), 62–68
Citation in format AMSBIB
\Bibitem{Uma14}
\by S.~M.~Umarkhadzhiev
\paper Boundedness of the Riesz potential operator in weighted grand Lebesgue spaces
\jour Vladikavkaz. Mat. Zh.
\yr 2014
\vol 16
\issue 2
\pages 62--68
\mathnet{http://mi.mathnet.ru/vmj505}
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  • https://www.mathnet.ru/eng/vmj/v16/i2/p62
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Владикавказский математический журнал
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    References:58
     
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