Weighted composition operators between weighted Bergman spaces and Hardy spaces on the unit ball of C-n

摘要

In this paper, we study the weighted composition operators W-rho,W-psi: f -> psi (f circle rho) 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-rho,W-psi: A(p)(nu(alpha)) -> A(q)(nu(beta)) (0 < q < p < infinity, -1 < alpha, beta < infinity) and W-rho,W-psi: H-p(B) -> H-q(B) (0 < q < p < infinity). (c) 2006 Elsevier Inc. All rights reserved.