Multipliers on modulation spaces

Abstract

The purpose of this paper is to study the multipliers on modulation spaces $M^{p,q}({\mathbf{R}}^d)$ for , . In particular, it is shown in the case that elements of and $K\in \mathbf{N})$, consisting of all functions $f\in C^K$ whose derivatives ${\partial }^{\alpha }f\in L^{\infty }$ for any multi-index $\alpha$ such that , are multipliers on $M^{p,q}$.