Multiplicative sufficient conditions for Fourier multipliers

Yu. S. Kolomoitsev

Izvestiya. Mathematics , Tome 78 (2014) no. 2, pp. 354-374.

Résumé

We get new sufficient conditions for Fourier multipliers in Hardy spaces $H_p(\mathbb R^n)$, $0$, 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 $B_{r,\infty}^s(\mathbb R^n)$.

Détail

Keywords: Hardy spaces, Wiener algebra.
Mots-clés : Fourier multipliers, Besov spaces

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