2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170571It is known that the Sobolev space $L^2_s$ with $s>n/2$ appeared in the Hörmander multiplier theorem can be replaced by the Besov space $B^{2,1}_{n/2}$. On the other hand, the Besov space $B_{n/2}^{2,1}$ is continuously embedded in the modulation space $M^{2,1}_0$. In this paper, we consider the problem whether we can replace $B_{n/2}^{2,1}$ by $M^{2,1}_0$.Functional AnalysisAnalysis of PDEs42B15; 42B35On the Hörmander multiplier theorem and modulation spacestext