M. N. Gurov, D. N. Karasev, V. A. Nogin, “On a certain Fourier multiplier”, Vladikavkaz. Mat. Zh., 17:1 (2015), 14

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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. Gurov^ab, D. N. Karasev^c, V. A. Nogin^ab

^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

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Abstract: We study a certain Fourier multiplier which degenerate or have singularities on the unit sphere in $\mathbb R^n$. Necessary and sufficient conditions are obtained for this multiplier to be in the Hörmander class $M_p^q$.

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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This publication is cited in the following 1 articles:

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