The generalized Libera transform is bounded on the Besov mixed-norm, BMOA and VMOA spaces on the unit disc |
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| Authors: | Karen Avetisyan |
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| Affiliation: | a Yerevan State University, Alex Manoogian st. 1, Yerevan 375025, Armenia
b Mathematical Institute of the Serbian Academy of Science, Knez Mihailova 36/III, 11000 Beograd, Serbia |
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| Abstract: | The main results of this note prove that the generalized Libera operator is bounded on the Besov mixed-norm space  as well as on the spaces BMOA and VMOA on the unit disk. The compactness of the operator on  is also studied. |
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| Keywords: | Libera operator Analytic function Unit disc Besov mixed-norm space BMOA Boundedness Compactness |
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