On Spectral properties in vector-valued Beurling algebra

Let $G$ be an LCA group, $om$ be a weight function on $G$, and $A$ be a semisimple, commutative Banach algebra. We characterize some Banach algebra properties of vector-valued Beurling algebra $Lgwa$ in terms of $Lgw$ and $A$ using the Bochner integration theory. These properties are unique uniform norm property (UUNP), unique $C^{ast}$-norm property (UC$^{ast}$NP), quasi divisor of zero property (QDZP), weak regularity (WR), regularity, and complete regularity (CR).