Multipliers and Tensor Products of Vector Valued LP (G, A) Spaces

Abstract

In this paper we define a normed space A(p)(q) (G, A) and prove some properties of this space. hi particular, we show that the space LV (G, A)circle times(Linfinity(G, A)) L-II (G, A) is isometricall isomorphic to the space A(q)(p) (G, A) and the space of multipliers from L-p (G, A) to L-q' (G, A*) is isometrically isomorphic to the dual of the space A(p)(q) (G, A) if G satisfies a property P-p(q).