Weighted composition operators between weighted Bergman spaces and Hardy spaces on the unit ball of [formula omitted

Abstract

In this paper, we study the weighted composition operators W φ , ψ : f → ψ ( f ○ φ ) between weighted Bergman spaces and Hardy spaces on the unit ball of C n . We characterize the boundedness and the compactness of the weighted composition operators W φ , ψ : A p ( ν α ) → A q ( ν β ) ( 0 < q < p < ∞ , − 1 < α , β < ∞ ) and W φ , ψ : H p ( B ) → H q ( B ) ( 0 < q < p < ∞ ) .