Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane
Let ψ be a holomorphic mapping on the upper half-plane Π+={z∈ℂ:Jz>0} and φ be a holomorphic self-map of Π+. 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 ψ, we also charac...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/989625 |
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| author | Stevo Stević Ajay K. Sharma S. D. Sharma |
| author_facet | Stevo Stević Ajay K. Sharma S. D. Sharma |
| author_sort | Stevo Stević |
| collection | DOAJ |
| description | Let ψ be a holomorphic mapping on the upper half-plane Π+={z∈ℂ:Jz>0} and φ be a holomorphic self-map of Π+. 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 ψ, we also characterize the compactness of these operators. |
| format | Article |
| id | doaj-art-a9f527925ce443158fe815189d5abf42 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a9f527925ce443158fe815189d5abf422025-02-03T01:23:40ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/989625989625Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-PlaneStevo Stević0Ajay K. Sharma1S. D. Sharma2Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11000 Beograd, SerbiaSchool of Mathematics, Shri Mata Vaishno Devi University, Kakryal, J & K Katra 182320, IndiaDepartment of Mathematics, University of Jammu, Jammu 180006, IndiaLet ψ be a holomorphic mapping on the upper half-plane Π+={z∈ℂ:Jz>0} and φ be a holomorphic self-map of Π+. 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 ψ, we also characterize the compactness of these operators.http://dx.doi.org/10.1155/2011/989625 |
| spellingShingle | Stevo Stević Ajay K. Sharma S. D. Sharma Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane Abstract and Applied Analysis |
| title | Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane |
| title_full | Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane |
| title_fullStr | Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane |
| title_full_unstemmed | Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane |
| title_short | Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane |
| title_sort | weighted composition operators from weighted bergman spaces to weighted type spaces on the upper half plane |
| url | http://dx.doi.org/10.1155/2011/989625 |
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