On the Hörmander multiplier theorem and modulation spaces

Details On the Hörmander multiplier theorem and modulation spaces On the Hörmander multiplier theorem and modulation spaces

2008-04-21

arxiv.org/abs/0804.3290v3

Mathematics

Functional Analysis

Scientific paper

It is known that the Sobolev space $L^2_s$ with $s>n/2$ appeared in the
H\"ormander 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 $M^{2,1}_0$.

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