On necessary conditions for Fourier multipliers

Alexey Rozhdestvenskii
Deartment of general control problem, Moscow State University
RUSSIAN FEDERATION

given at  strobl07 (17.06.07)
id:  542
length:  min
status:  accepted
type:  talk
function $\varphi$ to be a Fourier multiplier of weak type
$\bigl(\psi(L)(G),\psi(L)(G)\bigr)$, where $G=\mathbb R^d$ or
$G=\mathbb T^d$, provided the Young function $\psi(t)$ grows slower than $t\ln^{1/2}t$ as $t$ tends to infinity.