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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