Multipliers and tensor products of vector valued Lp (G, A) spaces

Abstract

In this paper we define a normed space Apq, (G, A) and prove some properties of this space. In particular, we show that the space ?? (G, A)?L?(G,A) ?II (G, A) is isometrically isomorphic to the space Apq (G, A) and the space of multipliers from Lp(G,A) to Lq? (G, A*) is isometrically isomorphic to the dual of the space A pq, (G, A) if G satisfies a property Pp q.