Authors: | Stević, Stevo Sharma, Ajay Sharma, Som |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Weighted composition operators from weighted bergman spaces to weighted-type spaces on the upper half-plane | Journal: | Abstract and Applied Analysis | Volume: | 2011 | Issue Date: | 16-Sep-2011 | Rank: | M21a | ISSN: | 1085-3375 | DOI: | 10.1155/2011/989625 | Abstract: | Let be a holomorphic mapping on the upper half-plane π+ = {z:Jz > 0 } and be a holomorphic self-map of +. We characterize bounded weighted composition operators acting from the weighted Bergman space to the weighted-type space on the upper half-plane. Under a mild condition on , we also characterize the compactness of these operators. |
Publisher: | Hindawi | Project: | Modulation of intracellular energy balance-controlling signalling pathways in therapy of cancer and neuro-immuno-endocrine disorders Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education National Board of Higher Mathematics, India (Grant no. 48/4/2009/R&D-II/426) |
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