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Vladikavkazskii Matematicheskii Zhurnal, 2015, Volume 17, Number 1, Pages 14–20 (Mi vmj528)  

This article is cited in 1 scientific paper (total in 1 paper)

On a certain Fourier multiplier

M. N. Gurovab, D. N. Karasevc, V. A. Noginab

a South Mathematical Institute of VSC RAS, Vladikavkaz, Russia
b Southern Federal University, Rostov-on-Don, Russia
c Rostov State Economical University, Rosto-on-Don, Russia
Full-text PDF (238 kB) Citations (1)
References:
Abstract: We study a certain Fourier multiplier which degenerate or have singularities on the unit sphere in Rn. Necessary and sufficient conditions are obtained for this multiplier to be in the Hörmander class Mqp.
Key words: multiplier, boundedness, potential.
Received: 01.07.2014
Document Type: Article
UDC: 517.983
Language: Russian
Citation: M. N. Gurov, D. N. Karasev, V. A. Nogin, “On a certain Fourier multiplier”, Vladikavkaz. Mat. Zh., 17:1 (2015), 14–20
Citation in format AMSBIB
\Bibitem{GurKarNog15}
\by M.~N.~Gurov, D.~N.~Karasev, V.~A.~Nogin
\paper On a~certain Fourier multiplier
\jour Vladikavkaz. Mat. Zh.
\yr 2015
\vol 17
\issue 1
\pages 14--20
\mathnet{http://mi.mathnet.ru/vmj528}
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  • https://www.mathnet.ru/eng/vmj528
  • https://www.mathnet.ru/eng/vmj/v17/i1/p14
  • This publication is cited in the following 1 articles:
    1. M. N. Gurov, V. A. Nogin, “LpLq-otsenki dlya obobschennykh potentsialov Rissa s ostsilliruyuschimi yadrami”, Vladikavk. matem. zhurn., 19:2 (2017), 3–10  mathnet
    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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