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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:326

Article

Luo, Luo ; Ueki, Sei-ichiro

关键词: weighted composition operator;    weighted Bergman space;    Hardy space;   

DOI  :  10.1016/j.jmaa.2006.02.038

来源: Elsevier

【 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.

【 授权许可】

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