| Authors: | Avetisyan, Karen Stević, Stevo |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | The generalized Libera transform is bounded on the Besov mixed-norm, BMOA and VMOA spaces on the unit disc | Journal: | Applied Mathematics and Computation | Volume: | 213 | Issue: | 2 | First page: | 304 | Last page: | 311 | Issue Date: | 15-Jul-2009 | Rank: | M21 | ISSN: | 0096-3003 | DOI: | 10.1016/j.amc.2009.03.022 | Abstract: | 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. |
Keywords: | Analytic function | Besov mixed-norm space | BMOA | Boundedness | Compactness | Libera operator | Unit disc | Publisher: | Elsevier |
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