On a~certain Fourier multiplier
Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 1, pp. 14-20
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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 $M_p^q$.
@article{VMJ_2015_17_1_a1,
author = {M. N. Gurov and D. N. Karasev and V. A. Nogin},
title = {On a~certain {Fourier} multiplier},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {14--20},
publisher = {mathdoc},
volume = {17},
number = {1},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2015_17_1_a1/}
}
M. N. Gurov; D. N. Karasev; V. A. Nogin. On a~certain Fourier multiplier. Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 1, pp. 14-20. http://geodesic.mathdoc.fr/item/VMJ_2015_17_1_a1/