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Vladikavkazskii Matematicheskii Zhurnal, 2015, Volume 17, Number 1, Pages 14–20
(Mi vmj528)
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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
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
Citation:
M. N. Gurov, D. N. Karasev, V. A. Nogin, “On a certain Fourier multiplier”, Vladikavkaz. Mat. Zh., 17:1 (2015), 14–20
Linking options:
https://www.mathnet.ru/eng/vmj528 https://www.mathnet.ru/eng/vmj/v17/i1/p14
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Abstract page: | 324 | Full-text PDF : | 82 | References: | 68 |
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