Vector-valued properties of the Weyl transform

In this paper, we introduce and study the concept of Weyl type and cotype w.r.t a locally compact abelian group. We also study the Weyl transform of vector measures and functions which are integrable w.r.t a vector measure. Later, we also introduce and study the convolution of functions from \(L^p\) $L^p$ -spaces associated to a vector measure.