Abstract:
We get new sufficient conditions for Fourier multipliers in
Hardy spaces $H_p(\mathbb R^n)$, $0<p\le 1$, and $L_p(\mathbb R^n)$,
$1\le p\le\infty$. Being of a multiplicative character, these conditions
are stated in terms of the joint behaviour of ‘norms’ of functions
in $L_q(\mathbb R^n)$ and Besov spaces $B_{r,\infty}^s(\mathbb R^n)$.
Keywords:Fourier multipliers, Hardy spaces, Besov spaces, Wiener algebra.
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