Weighted composition operators on the predual and dual Banach spaces of Beurling algebras on

Let v be a weight sequence on Z and let ψ , φ be complex-valued functions on Z such that φ ( Z ) ⊂ Z . In this paper we study the boundedness, compactness and weak compactness of weighted composition operators C ψ , φ on predual Banach spaces c 0 ( Z , 1 / v ) and dual Banach spaces ℓ ∞ ( Z , 1 / v ) of Beurling algebras ℓ 1 ( Z , v ) .