Weighted composition operators between weighted Bergman spaces and Hardy spaces on the unit ball of Cn

AbstractIn this paper, we study the weighted composition operators Wφ,ψ:f→ψ(f○φ) between weighted Bergman spaces and Hardy spaces on the unit ball of Cn. We characterize the boundedness and the compactness of the weighted composition operators Wφ,ψ:Ap(να)→Aq(νβ) (0<q<p<∞,−1<α,β<∞) and Wφ,ψ:Hp(B)→Hq(B) (0<q<p<∞)