Characterization of vector-valued $L^1$-$L^p$ multipliers for Weyl transform

Abstract

In this article, we will characterize Weyl multipliers for the pair $(L^1(G\times \hat{G};A),L^p(G\times \hat{G};A))$, for $1\le p<\infty$, under the assumption that $A$ is a complex Banach algebra with a bounded approximate identity.