M. N. Gurov, D. N. Karasev, V. A. Nogin, “On a certain Fourier multiplier”, Vladikavkaz. Mat. Zh., 2015, Volume 17, Number 1,Pages <nobr>14

This article is cited 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

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.

UDC: 517.983

Received: 01.07.2014