The generalized Libera transform is bounded on the Besov mixed-norm, BMOA and VMOA spaces on the unit disc

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摘要

The main results of this note prove that the generalized Libera operator is bounded on the Besov mixed-norm space Bαp,q(D) as well as on the spaces BMOA and VMOA on the unit disk. The compactness of the operator on Bαp,q(D) is also studied.

论文关键词：Libera operator,Analytic function,Unit disc,Besov mixed-norm space,BMOA,Boundedness,Compactness

论文评审过程：Available online 20 March 2009.

论文官网地址：https://doi.org/10.1016/j.amc.2009.03.022