Abstract. The purpose of this paper is to characterize the multipliers for the pair $(L^1(G,A),L^p(G,A))$, $1< p< \infty $, where $G$ is a locally compact abelian group and $A$, a commutative complex Banach algebra with a bounded approximate identity.

AMS Subject Classification (1991): 43A22, 47B38

Received January 3, 1995. (Registered under 5691/2009.)